Algebra 1

Published by Prentice Hall

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying POwers with the Same Base - Lesson Check - Page 429: 3

Answer

$2.4\times10^{10}$

Work Step by Step

We start with the given expression: $(3\times10^5)(8\times10^4)$ We apply the commutative and associative properties of multiplication to rearrange the terms: $(3\times8)(10^5\times10^4)$ We multiply the coefficients: $24(10^5\times10^4)$ To multiply powers with the same base, we add the exponents: $24\times10^{4+5}=24\times10^9$ We rewrite in scientific notation: $2.4\times10^{10}$

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