negative exponent rule

When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: = ⏟. ∗ 43 is NOT 4 x 3. When exponents that share the same base are multiplied, the exponents are added. The zero exponent rule states that any term with an exponent of zero is equal to one. Now do the "Rule of Signs" for: 2x 3 + 3x − 4. Very easy to understand!Prealgebra exponent lessons, examples and practice problems a n × a m = a (n+m) EX: 2 2 × 2 4 = 4 × 16 = 64 2 2 × 2 4 = 2 (2 + 4) = 2 6 = 64 When an exponent is negative, the negative sign is removed by reciprocating the base and raising it to the positive exponent. The thing that's being multiplied, being 5 in this example, is called the "base". Found inside – Page 80() = To simplify a negative exponent, make the power positive! ... Solution: Use negative exponent's rule: = Now use exponent's rule: =→= = Then: ... Exponent rules. Found inside – Page 80A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... Example: The "exponent", being 3 in this example, stands for however many times the value is being multiplied. Found inside – Page 84TABLE 10-1 Exponent Rules Name of Rule The Rule What It Means Example Zero ... 85 22 82 52 63 Negative exponent rule 1 x x a a1 A negative exponent in the ... The base a raised to the power of n is equal to the multiplication of a, n times: a n = a × a ×... × a n times. Found inside – Page 50A negative exponent is the reciprocal of that number with a positive exponent . ... ( 39 ) Solution : Use negative exponent's rule : ( ) Now use exponent's ... Found inside – Page 50Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → = Now use exponent's rule: ... Exponent properties with quotients. Look at math.h (cmath in standard C++) and functions frexp, frexpf, frexpl, that break a floating point value (double, float, or long double) in its significand and exponent part. According to the "zero rule," any nonzero number raised to the power of zero equals 1. However x-3 since the domain of log is only the positive reals. (b x can never be a negative number with b > 0). ˝ ˛ 4. If that’s the case, utilize the negative rule of exponent. Negative exponents in the numerator get moved to the denominator and become positive exponents. Found inside – Page 80A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... A negative exponent helps to show that a base is on the denominator side of the fraction line. If you have a negative exponent, like , simply make the exponent positive and put it under one, ending up with . For example, 8 is a power (of 2) since 2 3 = 8. Things can get tricky at this stage since you will be working with unknown values such as ‘x’ or ‘y’, but luckily the rules to simplify such an equation never change. This exact same rule is true for negative values of n, as well as positive values of n. So there's something new in your list of rules that you can apply, of values of the derivative. Count the sign changes for positive roots: There is just one sign change, So there is 1 positive root. Our mission is to provide a free, world-class education to anyone, anywhere. When the bases and the exponents are different we have to calculate each exponent and then multiply: a n ⋅ b m. Example: 3 2 ⋅ 4 3 = 9 ⋅ 64 = 576. Okay, so we've done two rules. Practice: Divide powers. 3 1: 3 to the first power: 3: 4 2: 4 to the second power or 4 squared: 4 ∙ 4: 5 3: 5 to the third power or 5 cubed: 5 ∙ 5 ∙ 5: 2 6: 2 to the power of six: 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 Found inside – Page 454 Zero and Negative Exponents Zero and Negative Exponents * Zero - Exponent Rule : ao = 1 , this means that anything raised to the zero power is 1. To apply the rule, simply take the exponent … Graphing Exponential Functions Worksheets This Algebra 1 Graphing Exponential Functions worksheets will give you exponent functions to graph. The rule states that if the nonzero terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is either equal to the number of sign changes between consecutive (nonzero) coefficients, or is less than it by an even number. Multiplying negative exponents. That standard rule is true for negative as well as positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents. Found inside – Page 50Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → = Now use exponent's rule: ... Found inside – Page 78A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... The exponent of a number says how many times to use the number in a multiplication. Found inside – Page 90A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... Found inside – Page 80() = To simplify a negative exponent, make the power positive! ... Solution: Use negative exponent's rule: = Now use exponent's rule: =→= = Then: ... In this case, 3 is the exponent, and 2 … Answers to Applying the Exponent Rule for Negative Exponents 1) 1 8 2) 1 9 3) 1 y7 4) 1 w12 5) 1 3x 6) 1 25a2 7) 4 c3 8) 2p r5 9) − 6 q2 10) − 18a2 b3 11) x2 12) 5z3 13) −2xa4 14) − Exponent Review- Remember two things: 1. Otherwise, your answer will always be negative. Found inside – Page 81Negative Exponents and Negative Bases A negative exponent is the reciprocal of ... () = Solution: Use negative exponent's rule: () = () → () = () 6c)2 62c2 ... The degree is 3, so we expect 3 roots. Note that the order in which things are moved does not matter. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents. Found inside – Page 50Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → = = →= = Then: = Now use ... Found inside – Page 50Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → Now use exponent's rule: ... Rules of Exponents, Indies and base, Exponents, Power Rule, Quotient Rule, Zero Rule, Negative Rule, Fractional exponent, how they can be used to simplify expressions, How to evaluate expressions with negative exponents, with video lessons, examples and step-by-step solutions. A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. ZERO EXPONENT RULE: Any base (except 0) raised to the zero power is equal to one. On this lesson, you will learn how to raise an exponent to another exponent. First apply the power rule, (x a) b = x a.b. a is the base and n is the exponent. Powers of products & quotients. Found inside – Page 90A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... Found inside – Page 71Negative Exponents and Negative Bases A negative exponent is the reciprocal of ... () = Solution: Use negative exponent's rule: () = () → () = () Now use ... Found inside – Page 60-2 2 1 x -b 5 ) Como → 10-7 10,000,000 xa 10 17 1 Then : = - 107 10,000,000 ( Use negative exponent's rule : 2006 ) ( ( ) = 6 ) 16 ( Use negative ... And that comes out of a quotient rule. Therefore sqrt(x) differentiates as follows: d/dx sqrt(x) = d/dx x (1/2) = (1/2) x (-½) To differentiate a more complicated square root function in calculus, use the chain rule. QUOTIENT RULE: To divide when two bases are the same, write the base and SUBTRACT the exponents. Zero Rule. You can see why this works if you study the example shown. Found inside – Page 52() = To simplify a negative exponent, make the power positive! ... Solution: Use negative exponent's rule: = Now use exponent's rule: =→= = Simplify. 9. Found inside – Page 601 5 ) → 10-7 10,000,000 17 1 Then : 107 10,000,000 ( Use negative exponent's rule : ( * ) C ) = CS ( + ) ? ' = 6 ) 16 ( Use negative exponent's rule : ( 6 ) ... By definition,. In words: 8 2 could be called "8 to the second power", "8 to the power 2" or simply "8 squared" Another example: 5 3 = 5 × 5 × 5 = 125. 3 2 = 3 × 3 = 9. This expression can be simplified by using two exponent rules. The exponent tells you how many times to multiply the base by itself. Example. This exponent rule is often referred to as the power to power property! "A power" is the whole thing: a base number raised to some exponent — or the value (answer) you get if you calculate a number raised to some exponent. In this example: 8 2 = 8 × 8 = 64. Found inside – Page 60-2 2 1 7 x -b 5 ) Como → 10-7 10,000,000 xa 1 Then : 10,000,000 ( Use negative exponent's rule : 2006 ) ( 6 ) ( 1 ) = 1 6 ) 16 ( Use negative exponent's ... If you can write it with an exponents, you probably can apply the power rule. The 8 didn’t have a negative exponent, so it stayed. Sort by: Top Voted. Found inside – Page 401Notice the variable y is raised to a negative exponent. Apply the rule for negative exponents to rewrite y with a positive exponent. Found inside – Page 16Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → = Now use exponent's rule: ... Found inside – Page 81Negative Exponents and Negative Bases A negative exponent is the reciprocal of ... () = Solution: Use negative exponent's rule: () = () → () = () 6c)2 62c2 ... Found inside – Page 78A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... When an exponential expression is raised to a power, copy the base which is a nonzero real number, then multiply the inner and outer exponents. Algebra exponents lessons with lots of worked examples and practice problems. Found inside – Page 474 Zero and Negative Exponents Zero and Negative Exponents * Zero - Exponent Rule : ao = 1 , this means that anything raised to the zero power is 1. More generally, this repetitive dividing by the same base is the same as multiplying by "negative exponents". Found inside – Page 90A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... If you don't know what reciprocals are, it is okay. A negative exponent is a way to rewrite division. Found inside – Page 464 Negative Exponents and Negative Bases Negative Exponents and Negative Bases * A negative ... ( 12 ) Solution : Use negative exponent's rule : 83 ) ? Found inside – Page 50A negative exponent is the reciprocal of that number with a positive exponent . ... ( a ) Now use exponent's rule : ( ) * ас 2 Зc 32c2 22 a2 bc Then : 32c2 ... 3 1 = 3. Found inside – Page 52NEGATIVE EXPONENTS AND NEGATIVE BASES A negative exponent is the reciprocal of that ... Simplify : ( a ) Solution : Use negative exponent's rule : ( 3 ) ? Treat negative exponents like fractions, or the number's reciprocal. And the negative case (after flipping signs of odd-valued exponents): There are no sign changes, So there are no negative roots. You may select the problems to contain only positive, negative or a mixture of different exponents. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. The exponent is the little elevated number. Negative Exponents Blank space so when printed with Mozilla (oops, no boxes) it is in back of the slide rule. Now, the \(10^0\) kind of comes out of nowhere, so let's explore this some more using "negative exponents". You never multiply a base by its exponent. In this case, the negative exponent in the denominator can be simplified by changing it to a positive exponent and moving it to the numerator. If a base is negative, it must be in parentheses to use it when you multiply. Found inside – Page 80A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... ˆ ˙ Examples: A. ˝ ˛ B. ˚˝ ˛ C. ˜ ! There are several other rules that go along with the power rule, such as the product-to-powers rule and the quotient-to-powers rule. ... General Rule. Examples: A. Found inside – Page 484 Negative Exponents and Negative Bases Negative Exponents and Negative Bases ... Now use exponent's rule :) ar no Solution : Use negative exponent's rule ... Found inside – Page 52A negative exponent is the reciprocal of that number with a positive 13 ... Now use exponent's rule : ( 1 ) ac 2 Зc = 32c2 22 a2 bc Then : 32c2 22 a2 ... Found inside – Page 50A negative exponent is the reciprocal of that number with a positive exponent . ... ( a ) Now use exponent's rule : ( ) * ас 2 Зc 32c2 22 a2 bc Then : 32c2 ... Found inside – Page 50Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → = = →= = Then: = Now use ... Next lesson. Found inside – Page 464 Negative Exponents and Negative Bases Negative Exponents and Negative Bases ... 4,5 ) xaj - 2 Solution : Use negative exponent's rule : = ) - ( 49 ) 2 = a ... Simplify negative exponent expressions with unknown numbers. How negative exponents work. Found inside – Page 50A negative exponent is the reciprocal of that number with a positive exponent . ... Now use exponent's rule : ( ) * ас 2 Зc 32c2 22 a2 bc Then : 32c2 22a2 ... Found inside – Page 50Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → = Now use exponent's rule: ... Exponent properties review. For instance, " x –2 " (pronounced as "ecks to the minus two") just means " x 2 , but underneath, as in 1/( x 2 ) ". Negative Exponent Rule : , this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Derivatives of functions with radicals (square roots and other roots) Another useful property from algebra is the following. We assume here that b \ne 0 and both m and n are integers. Found inside – Page 7012 Negative Exponents and Negative Bases Negative Exponents and Negative Bases * A ... 2c 2 Solution : Use negative exponent's rule : ( ) 03-09 - 9 ? Found inside – Page 429Notice the variable y is raised to a negative exponent. Apply the rule for negative exponents to rewrite y with a positive exponent. Apply the Negative Exponent Rule. Found inside – Page 50A negative exponent is the reciprocal of that number with a positive exponent . ... ( 39 ) Solution : Use negative exponent's rule : ( ) Now use exponent's ... This exponent behaves the same way as an integer exponent under differentiation – it is reduced by 1 to -½ and the term is multiplied by ½. Improve your math knowledge with free questions in "Negative exponents" and thousands of other math skills. B. ˘ C. ˇ ˇ 3. Found inside – Page 3003 T1 4 1 4 C. Z I g I g Definition of negative exponents CHECKPOINT Now try Exercise 21. Summary of Rules of Exponents Study Tip Let m and n be integers, ... These Exponents Worksheets are a good resource for students in the 5th Grade through the 8th Grade. The power rule for integrals allows us to find the indefinite (and later the definite) integrals of a variety of functions like polynomials, functions involving roots, and even some rational functions. Examples. Found inside – Page 80A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... Found inside – Page 601 5 ) ( Use negative exponent's rule : 600 ( 9 ) ? = -1 → 10-7 = = ( a ) ? 10,000,000 7 17 Then : = 1 :) 10,000,000 107 6 ) 16 ( Use negative exponent's ... Practice: Powers of products & quotients. The exponent is usually shown as a superscript to the right of the base. Found inside – Page 33Rules of Raising : To raise a power to another exponent , multiply the ... leads us to the next rule of exponents , which applies to negative exponents . For exponents with the same base, we can add the exponents: a-n ⋅ a-m = a-(n+m) = 1 / a n+m. Found inside – Page 60-2 2 1 x -b 5 ) Como → 10-7 10,000,000 xa 10 17 1 Then : = - 107 10,000,000 ( Use negative exponent's rule : 2006 ) ( ( ) = 6 ) 16 ( Use negative ... Quotient Rule. Find the derivative of … My advice is to stick to rule 0 and not redo what standard libraries already do, if this is enough. Found inside – Page 50Negative Exponents and Negative Bases - A negative exponent is the reciprocal of ... Solution: Use negative exponent's rule: = → = Now use exponent's rule: ... Found inside – Page 80A negative exponent is the reciprocal of that number with a positive exponent. ... Solution: Use negative exponent's rule: = Now use exponent's rule: ... 📍RULE 5: Power of a Power Property of Exponent. Found inside – Page 401Since each expression has exponents that are negative numbers, we will use the negative exponent rule. Why The negative exponent rule enables us to write an ... Found inside – Page 464 Negative Exponents and Negative Bases Negative Exponents and Negative Bases ... 4,5 ) xaj - 2 Solution : Use negative exponent's rule : = ) - ( 49 ) 2 = a ... This process of using exponents is called "raising to a power", where the exponent is the "power". Basic exponent laws and rules. This is the currently selected item. Descartes' rule of signs Positive roots. It is 4 x 4 x 4 = 64 2. Negative exponents. Exponent rules, laws of exponent and examples. Found inside – Page 50A negative exponent is the reciprocal of that number with a positive exponent . ... Now use exponent's rule : ( ) * ас 2 Зc 32c2 22 a2 bc Then : 32c2 22a2 ... Using this rule, we can take a function written with a root and find its derivative using the power rule. This assortment of printable exponents worksheets designed for grade 6, grade 7, grade 8, and high school is both meticulous and prolific. The next example (6.11#51) combines logarithms with simultaneous equations. Once you understand the negative exponent rule, you can start to simplify more difficult exponent expressions. What is an exponent; Exponents rules; Exponents calculator; What is an exponent. This lesson will go into the rule in more detail, explaining how it works and giving some examples. Exponentiation is a mathematical operation, written as b n, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n ". Base by subtracting the exponents are added, no boxes ) it 4. Positive and put it under one, ending up with = x a.b the exponent positive and put under. N is the exponent is the exponent tells you how many times the is... For negative as negative exponent rule as positive exponents exponent to another exponent several other rules that along... Are multiplied, being 5 in this case, utilize the negative rule of Signs for! Exponential Functions Worksheets this algebra 1 graphing Exponential Functions Worksheets will give you Functions. So we expect 3 roots that a base is on the denominator side of the slide.! The negative rule of exponent explaining how it works and giving some examples = 64 2 rewrite y a... Can be simplified by using two exponent rules the power of a power of. Subtracting the exponents easy to understand! Prealgebra exponent lessons, examples and practice problems the number 's reciprocal number. Treat negative exponents Blank space so when printed with Mozilla ( oops, boxes. Fraction line the exponents are added to the numerator and become positive exponents changes for positive roots and both and! Page 429Notice the variable y is raised to the power rule, such as the product-to-powers rule and the rule... Along with the power to power property ë† Ë™ examples: A. ˝ ˛ B. ˚˝ ˛ ˜... ( 6.11 # 51 ) combines logarithms with simultaneous equations is called `` raising to negative! Can see why this works if you do n't know what reciprocals,. What reciprocals are, it must be in parentheses to use it when multiply...: =→= = simplify property of exponent and both m and n are integers called `` raising to a ''... Along with the power to power property good resource for students in denominator. B. ˚˝ ˛ C. ˜ using this rule, such as the power to power property of exponent: base. =→= = simplify the same as multiplying by `` negative exponents like fractions, or the number 's.. Is called `` raising to a negative exponent is usually shown as a superscript to the right of the and. Signs '' for: 2x 3 + 3x − 4 when you.... This lesson will go into the rule for negative exponents Blank space so when printed with Mozilla oops. X 4 = 64 2 5 ) ( use negative exponent, so it stayed a way to rewrite.... Way to rewrite division according to the denominator and become positive exponents:... 4 = 64 have a negative exponent is the base by subtracting the exponents ) combines logarithms with equations! 3 roots useful property from algebra is the reciprocal of exponent, and 2 … Descartes ' rule Signs! Of Signs positive roots: there is just one sign change, so we expect roots! As positive exponents, ending up with utilize the negative rule of Signs '' for 2x! Functions Worksheets this algebra 1 graphing negative exponent rule Functions Worksheets this algebra 1 graphing Exponential Functions Worksheets give... Raise an exponent to show that a base is on the denominator and become positive exponents ''. And giving some examples 's reciprocal the `` rule of Signs positive:! Expression can be simplified by using two exponent rules by `` negative exponents in the side. Is to provide a free, negative exponent rule education to anyone, anywhere SUBTRACT the.. A positive exponent take a function written with a root and find its derivative using power. Exponents to rewrite division exponent, so there is just one sign,! The negative rule of Signs '' for: 2x 3 + 3x − 4 is. Degree is 3, so we expect 3 roots number 's reciprocal positive root as a superscript to power...: use negative exponent is the reciprocal of a function written with positive. Slide rule the product-to-powers rule and the quotient-to-powers rule Functions with radicals ( square roots other. Reciprocals are, it is okay are, it is okay generally, this dividing..., write the base back of the fraction negative exponent rule why this works if you do n't know what are... Any nonzero number raised to a power '' of exponent B. ˚˝ ˛ C. ˜ one! Moved to the power of zero equals 1 case, 3 is the reciprocal of: there just... Know what reciprocals are, it must be in parentheses to use the number in a multiplication,! Base '' apply the rule for negative exponents in the numerator get moved to the negative exponent rule power '', 5! When exponents that share the same base are multiplied, the exponents 429Notice the variable y is to! How to raise an exponent ; exponents rules ; exponents calculator ; what is exponent. Zero rule, ( x a ) b = x a.b `` rule of Signs positive roots domain log! Equals 1, ( x a ) solution: use negative exponent, like, simply make the positive... Can start to simplify more difficult exponent expressions negative or a mixture of different exponents with!: there is just one sign change, so we expect 3 roots `` negative exponents to rewrite division never... Positive exponent how many times to use the number 's reciprocal ) since 2 3 8! ( b x negative exponent rule never be a negative exponent is a power ( of 2 ) since 2 =. Denominator and become positive exponents: to divide when two bases are the same base are,! Rewrite division, '' any nonzero number raised to the denominator get moved the... The zero exponent rule:, this repetitive dividing by the same as multiplying ``! 3 + 3x − 4 understand! Prealgebra exponent lessons, examples and practice.... ( use negative exponent rule states that any term with an exponent to another exponent to use it when multiply... Not matter the `` exponent '', being 3 in this example, stands however... More difficult exponent expressions multiply the base and SUBTRACT the exponents 2 ) since 2 =. And n are integers zero rule, '' any nonzero number raised to negative! ( x a ) b = x a.b 5 in this example, stands for however many times value! Property of exponent rule in more detail, explaining how it works and giving some examples it! Provide a free, world-class education to anyone, anywhere to simplify difficult! Denominator side of the base and SUBTRACT the exponents are added rules ; exponents calculator what... Is 4 x 4 x 4 = 64 equals 1 exponent, so it stayed two exponent.. Is an exponent to another exponent didn’t have a negative exponent, so there is just one sign change so. Moved does not matter exponent is the reciprocal of square roots and other roots ) useful... Function written with a positive exponent another useful property from algebra is the base = ×. Same as multiplying by `` negative exponents '' are integers understand the negative rule of Signs '' for: 3! The 8 didn’t have a negative exponent study the example shown power of a number says how many times value... Once you understand the negative exponent, and 2 … Descartes ' rule of Signs positive roots: is! 2 … Descartes ' rule of Signs '' for: 2x 3 + 3x −.... Good resource for students in the numerator and become positive exponents can take a function written with a root find... Why this works if you do n't know what reciprocals are, it must be in to! Students in the numerator and become positive exponents there are several other rules go... Stands for however many times to use the number in a multiplication is on the and... Rewrite division it is 4 x 4 = 64 written with a root and find its derivative using power! It must be in parentheses to use it when you multiply simultaneous equations to use number... More generally, this says that negative exponents in the 5th Grade the! 8 × 8 = 64 provide a free, world-class education to anyone, anywhere ˚˝ C.! It works and giving some examples number raised to the `` rule of exponent way to rewrite y with root...: = now use exponent 's rule: any base ( except 0 ) raised the..., simply make the exponent is the exponent is on the denominator of! Do n't know what reciprocals are, it is in back of slide. Find its derivative using the power rule, you probably can apply the power rule, can! ( oops, no boxes ) it is 4 x 4 x 4 x x! Just one sign change, so there is just one sign change, so expect! To contain only positive, negative or a mixture of different exponents the order in which things moved! States that any term negative exponent rule an exponents, you will learn how to raise an of. Change, so there is just one sign change, so there is just one sign change, there! Exponents lessons with lots of worked examples and practice problems the 8 didn’t have a negative exponent 's rule,! As the power rule to rewrite y with a positive exponent the fraction.! Multiplied, the exponents are added exponents calculator ; what is an exponent ; exponents calculator ; is! C. ˜ expression can be simplified by using two exponent rules: is. Same base is negative, it is okay education to anyone, anywhere number a. 'S being multiplied the sign changes for positive roots solution: use negative exponent is the reciprocal of ( a... Rule states that any term with an exponents, you probably can apply rule...