Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 33

Answer

$\frac{6}{ac^3}$

Work Step by Step

We start with the given expression: $\frac{6a^{-1}c^{-3}}{d^0}$ The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$. We use this rule to rewrite the expression as follows: $\frac{6a^{-1}c^{-3}}{1}$ Since any number divided by $1$ is itself, we can disregard the denominator: $6a^{-1}c^{-3}$ The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rearrange the $a$ and $c$ terms of the expression as follows: $\frac{6}{ac^3}$
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