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: 43

Answer

$2.56 \times 10^{22}$

Work Step by Step

(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: $=6.25^{-2} \times (10^{-12})^{-2} \\=\dfrac{1}{6.25^2} \times 10^{-12\cdot (-2)} \\=\dfrac{1}{39.0625} \times 10^{24} \\=0.0256 \times 10^{24} \\=(2.56 \cdot 10^{-2}) \times 10^{24} \\=2.56 \times 10^{-2+24} \\=2.56 \times 10^{22}$
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