Algebra 2 Common Core

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

Skills Handbook - Operations With Exponents - Exercises - Page 978: 25



Work Step by Step

Raise each factor in the parentheses to the second power: $$\frac{(3a^{3})^{2}}{18a}=\frac{(3)^{2}(a^{3})^{2}}{18a}.$$ Multiply exponents to raise a power to a power: $$\frac{9a^{3\times 2}}{18a}=\frac{9a^{6}}{18a}.$$ To divide powers of the same base, subtract the exponents: $$\frac{a^{6-1}}{2}=\frac{a^{5}}{2}.$$
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