Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises: 35

Answer

$8.835$ X $10^{7}$

Work Step by Step

Multiply the coefficients : $1.86$ X $10^{5}$ X $475$ This becomes : $1.86$ X $475$ X $10^{5}$ This becomes : $883.5$ X $10^{5}$ Now we shift the decimal place in order to convert it into the scientific notation : $8.835$ X $10^{2}$ X $10^{5}$ (A shift of two decimal places requires multiplication by $10^{2}$) This becomes : $8.835$ X $10^{2+5}$ , since exponents are added while multiplying with the same base Final result : $8.835$ X $10^{7}$
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