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 - Mixed Review - Page 419: 90



Work Step by Step

We start with the given expression: $3\times10^{-3}$ The order of operations states that first we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from left to right. We follow the order of operations to simplify: First, we simplify the exponent. The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. $3\times\frac{1}{10^3}=3\times\frac{1}{10\times10\times10}=3\times\frac{1}{1000}$ Then, we multiply: $\frac{3}{1000}$ Finally, we divide: $0.003$
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