Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Lesson Check - Page 442: 6

Answer

Each of the terms involved in a product/quotient is raised to the power, and then multiplication/division is performed.

Work Step by Step

Raising a quotient to a power, the numerator and the denominator are raised to the power. $(\displaystyle \frac{a}{b})^{n}=\frac{a^{n}}{b^{n}}$ Raising a product to a power, the factors are raised to the power. $(a\cdot b)^{n}=a^{n}\cdot b^{n}$ Each of the terms involved in a product/quotient is raised to the power, and then the multiplication/division is performed.
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