Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises: 20

Answer

$\displaystyle \frac{49}{c^{6}d^{4}}$

Work Step by Step

$[\displaystyle \frac{c^{3}}{7d^{-2}}]^{-2}$ =......... $(\displaystyle \frac{a}{b})^{m}=\frac{a^{m}}{b^{m}}$ $=\displaystyle \frac{(c^{3})^{-2}}{(7d^{-2})^{-2}}$ =......... $(ab)^{m}=a^{m}b^{m}$ $=\displaystyle \frac{(c^{3})^{-2}}{7^{-2}(d^{-2})^{-2}}$=......... $(a^{m})^{n}=a^{mn}$ $=\displaystyle \frac{c^{(3)(-2)}}{7^{-2}d^{(-2)(-2)}}$ $=\displaystyle \frac{c^{-6}}{7^{-2}d^{4}}$=.........$\displaystyle \frac{1}{a^{n}}=a^{-n}$ $=\displaystyle \frac{7^{2}}{c^{6}d^{4}}$ $=\displaystyle \frac{49}{c^{6}d^{4}}$
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