Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Operations With Exponents - Exercises: 22

Answer

$$\frac{1}{x^{6}}$$

Work Step by Step

Multiply exponents to raise a power to a power. Then the expression raised to a negative power is equal to the reciprocal of that expression raised to the same positive power: $$(x^{-2})^{3}=x^{(-2)\times 3}=x^{-6}=\frac{1}{x^{6}}.$$
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