Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.1 Use Properties of Exponents - 5.1 Exercises - Skill Practice - Page 333: 23

Answer

$2.25\cdot10^{-2}$

Work Step by Step

Simplifying using the rules of exponents, we find: $\frac{7.5\cdot10^{8}\cdot4.5\cdot10^{-4}}{1.5\cdot10^7}=\frac{(7.5\cdot4.5)\cdot(10^{8}\cdot10^{-4})}{1.5\cdot10^7}=\frac{33.75\cdot10^{8-4}}{1.5\cdot10^7}=\frac{33.75\cdot10^{4}}{1.5\cdot10^7}=\frac{33.75}{1.5}\frac{10^{4}}{10^{7}}=22.5\cdot10^{4-7}=22.5\cdot10^{-3}=2.25\cdot10^{-2}$
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