Algebra 2 Common Core

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

Skills Handbook - Operations With Exponents - Exercises: 13

Answer

$$\frac{a^{4}}{b^{5}}$$

Work Step by Step

To divide powers of the same base, subtract the exponents: $$\frac{a^{5}b^{3}}{ab^{8}} =a^{5-1}b^{3-8}=a^{4}b^{-5}.$$ A negative power is equivalent to the reciprocal with the positive power: $$a^{4}b^{-5}= \frac{a^{4}}{b^{5}}.$$
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