Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises - Page 417: 22



Work Step by Step

We start with the expression: $\frac{1}{x^{-7}}$ We rewrite the expression using the division symbol: $1\div x^{-7}$ The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression as $1\div\frac{1}{x^7}$. To divide by a fraction, we rewrite by multiplying by the reciprocal: $1\times x^7$ We multiply: $x^7$
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