## Algebra 1

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Lesson Check - Page 436: 6

#### Answer

$3.2\times10^{-14}$

#### Work Step by Step

We start with the given expression: $(2\times10^{-3})^5$ To raise a product to a power, we raise each factor to the power and multiply: $2^5\times(10^{-3})^5$ To raise a power to a power, we multiply the exponents. $32\times10^{-15}$ We write the expression in scientific notation: $3.2\times10^{-14}$

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