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: 54

Answer

$10^{-4}$

Work Step by Step

We start with the given expression: $\frac{1}{10000}$ We want to determine what power of $10$ is in the denominator. $10000=10\times10\times10\times10=10^4$ We rewrite the expression as $\frac{1}{10^4}$. 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 rewrite the expression: $10^{-4}$
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