Algebra 2 Common Core

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

Skills Handbook - Operations With Exponents - Exercises: 18

Answer

$$\frac{x^{6}}{y^{15}}$$

Work Step by Step

Raise each factor in the parentheses to the third power: $$\bigg(\frac{x^{2}}{y^{5}}\bigg)^{3}=\frac{(x^{2})^3}{(y^{5})^3}.$$ Multiply exponents to raise a power to a power: $$=\frac{x^{2\times 3}}{y^{5\times 3}}=\frac{x^{6}}{y^{15}}.$$
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