Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises: 45

Answer

$\dfrac{9x^{6}}{225}$

Work Step by Step

(i) $(ab)^m=a^mb^m$ (ii) $\left(\dfrac{a}{b}\right)^m=\dfrac{a^m}{b^m}, b\ne0$ (iii) $(a^m)^n=a^{mn}$ Use the rules above to obtain: $=\dfrac{(3x^3)^2}{15^2} \\=\dfrac{3^2(x^3)^2}{225} \\=\dfrac{9x^{3\cdot2}}{225} \\=\dfrac{9x^{6}}{225}$
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