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: 39

Answer

$1.024 \times 10^{13}$

Work Step by Step

RECALL: (i) $(ab)^m=a^mb^m$ (ii) $(a^m)^n=a^{mn}$ Use the rules above to obtain: $=4^5 \times (10^2)^5 \\=1024 \times 10^{2\cdot 5} \\=1.024(10^3) \times 10^{10} \\=1.024 \times 10^{3+10} \\=1.024 \times 10^{13}$
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