Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.6 - Integral Exponents and Scientific Notation - Problem Set 5.6: 57

Answer

$\dfrac{1}{x^4}$

Work Step by Step

Using the laws of exponents, the given expression, $ (x^{2})^{-2} ,$ is equivalent to \begin{array}{l}\require{cancel} x^{2(-2)} \\\\= x^{-4} \\\\= \dfrac{1}{x^4} .\end{array} For more complicated problems, it is helpful to remember that you can flip the location of numbers with negative exponents. In other words, you can move numbers with a negative exponent that are in the numerator to the denominator, and you can move numbers with a negative exponent in the denominator to the numerator.
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