Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 25

Answer

$\frac{1}{12g^4}$

Work Step by Step

We start with the given expression: $(12g^4)^{-1}$ 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: $\frac{1}{(12g^4)^1}$ To raise a product to a power, we raise each factor to the power, and multiply: $\frac{1}{12^{1}g^4}=\frac{1}{12g^4}$
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