Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - Mid-Chapter Quiz - Page 439: 18



Work Step by Step

We start with the given expression: $(4\times10^7)(3\times10^{-1})$ We use the associative property of multiplication to regroup the factors in a different way: $(4\times3)(10^7\times10^{-1})$ We multiply the constants: $12(10^7\times10^{-1})$ To multiply powers with the same base, we add the exponents: $12(10^{7+(-1)})=12\times10^{6}$ We rewrite this in scientific notation: $1.2\times10^7$
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