College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.3 - Polynomials - R.3 Exercises - Page 31: 107

Answer

$1,000,000$

Work Step by Step

Using the laws of exponents, the given expression, $ (0.25)^3(400^3) ,$ is equivalent to \begin{array}{l}\require{cancel} (0.25\cdot400)^3 \\\\= \left( \dfrac{1}{4}\cdot400 \right)^3 \\\\= \left( 100 \right)^3 \\\\= 1,000,000 .\end{array}
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