## Algebra 1

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Mixed Review - Page 431: 78

#### Answer

$4.65\times10^{-3}$

#### Work Step by Step

To convert a number from standard notation to scientific notation, we must move the decimal to the left or to the right, counting the number of places, until the number is between $1$ and $10$, and multiply by a power of $10$. If the number is less than $1$, and we moved the decimal to the right, the power of $10$ is the negative number of places we moved the decimal point. If the number is greater than $1$, and we moved the decimal to the left, the power of $10$ is the positive number of places we moved the decimal point. We are trying to convert $0.00465$ to scientific notation. We move the decimal $3$ places to the right, giving us $4.65$ as the coefficient, and $-3$ as the power of $10$. This gives us $4.65\times10^{-3}$

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