Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises: 45

Answer

$1.3312053 \times 10^{25}$

Work Step by Step

RECALL: (i) $(ab)^m=a^mb^m$ (ii) $(a^m)^n=a^{mn}$ (iii) $a^{-m} = \dfrac{1}{a^m} a\ne0$ Use the rules above to obtain: $=2.37^{3} \times (10^{8})^{3} \\=13.312053 \times 10^{8\cdot 3} \\=(1.3312053 \cdot 10) \times 10^{24} \\=1.3312053 \times 10^{1+24} \\=1.3312053 \times 10^{25}$
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