Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.7 - Scientific Notation - Exercise Set - Page 91: 96



Work Step by Step

$$(8x^{4}y^{-3})^{-2}$$ Recall the power rule: $(a^{m})^{n}=a^{mn}$ Thus, $$(8x^{4}y^{-3})^{-2} = (8^{-2}x^{4(-2)}y^{-3(-2)})$$ $$=(8^{-2}x^{-8}y^{6})$$ Recall the negative exponent rule: $a^{−n}=\frac{1}{a^{n}}$ Thus, $$(8^{-2}x^{-8}y^{6})= \frac{y^{6}}{8^{2}x^{8}}$$ $$\frac{y^{6}}{64x^{8}}$$
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