Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Lesson Check - Page 429: 3

Answer

2.4$\times$$10^{10}$

Work Step by Step

(3$\times$$10^{5}$)$\times$(8$\times$$10^{4}$) = (3$\times$8)($10^{5+4}$) = 24$\times$$10^{9}$ = 2.4$\times$$10^{10}$ If you add a decimal to the answer from left to right, then you add 1 to the exponent, so that is why the power changed from 9 to 10 as you added an extra decimal.
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