Algebra 2 Common Core

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

Skills Handbook - Operations With Exponents - Exercises: 25

Answer

$$\frac{a^{5}}{2}$$

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: $$\frac{a^{6-1}}{2}=\frac{a^{5}}{2}.$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.