Algebra 2 Common Core

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

Skills Handbook - Operations With Exponents - Exercises: 24

Answer

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

Work Step by Step

To multiply powers of the same base, add the exponents. An expression raised to a negative power is equal to the reciprocal of that expression raised to the same positive power: $$g^{-3}g^{-1}=g^{(-3)+(-1)}=g^{-4}=\frac{1}{g^{4}}.$$
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