Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises: 39


a) $\frac{a^{19}b}{c^9}$ b) $\frac{v^{10}}{u^{11}}$

Work Step by Step

a) $($$\frac{a^2}{b}$$)$$^5$$($$\frac{a^3b^2}{c^3}$$)$$^3$ = $\frac{a^{(2)(5)}}{b^5}$$\frac{a^{(3)(3)}b^{(2)(3)}}{c^{(3)(3)}}$ = $\frac{a^{10+9}b^{6-5}}{c^9}$ = $\frac{a^{19}b}{c^9}$ b) $\frac{(u^{-1}v^2)^{2}}{(u^{3}v^{-2})^3}$ = $\frac{u^{(-2)(2)}v^{(2)(2)}}{u^{(3)(3)}v^{(-2)(3)}}$ = $u^{-4-9}$$v^{4+6}$ = $u^{-11}$$v^{10}$ = $\frac{v^{10}}{u^{11}}$
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