Algebra 2 Common Core

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

Skills Handbook - Operations With Exponents - Exercises: 20

Answer

$$\frac{1}{p^{10}}$$

Work Step by Step

An expression raised to a negative power is equal to the reciprocal of that expression raised to the same positive power: $$(p^{5})^{-2}= \frac{1}{(p^{5})^{2}}.$$ Multiply the exponents to raise a power to a power: $$\frac{1}{p^{5\times 2}}=\frac{1}{p^{10}}.$$
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