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 81: 141

Answer

$$b^{(2\cdot 3)} = b^6$$

Work Step by Step

Power rule: $(a^{m})^{n}=a^{mn}$ states that when a power is raised to a power, you need to multiply the exponents. For example, if $b^{2}$ is raised to $3$ expressed as $(b^{2})^{3}$, simplifying this will give you the expression: $$b^{(2\cdot 3)} = b^6$$
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