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 1.6 - Properties of Integral Exponents - Exercise Set - Page 79: 55



Work Step by Step

RECALL: (i) The power rule of exponents states that: $\left(a^{m}\right)^n=a^{mn}$. (ii) The negative-exponent rule states that: $a^{-m} = \dfrac{1}{a^m}$ and $\dfrac{1}{a^{-m}}=a^m$ where $a \ne 0$. Use the power rule to find: $\left(b^4\right)^{-3}=b^{4(-3)}=b^{-12}$ Use the negative-exponent rule to find: $b^{-12} = \dfrac{1}{b^{12}}$
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