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: 149

Answer

The expression $\frac{a^{n}}{b^{0}}$ is undefined because division by 0 is undefined. -->does not make sense According to the zero exponent rule: $a^0=1$, any number raised to zero is equal to one provided that $a\ne0$. Thus, $$\frac{a^{n}}{b^{0}} = \frac{a^{n}}{1} = a^n$$

Work Step by Step

The expression $\frac{a^{n}}{b^{0}}$ is undefined because division by 0 is undefined. -->does not make sense According to the zero exponent rule: $a^0=1$, any number raised to zero is equal to one provided that $a\ne0$. Thus, $$\frac{a^{n}}{b^{0}} = \frac{a^{n}}{1} = a^n$$
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