Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 444: 79

Answer

$3\frac{ 1}{3}\;m$.

Work Step by Step

Frequency $f=9\times 10^7$ waves per second. Speed $s=3\times 10^8$ meters per second. Wavelength $\lambda=\frac{s}{f}$. Substitute both values. $\lambda=\frac{3\times 10^8\;m/sec}{9\times 10^7\;/sec}$ Simplify. $\lambda=\frac{3\times 10^8\;m}{3^2\times 10^7}$ $\lambda=\frac{ 10^{8-7}\;m}{3^{2-1}}$ $\lambda=\frac{ 10\;m}{3}$ $\lambda=3\frac{ 1}{3}\;m$.
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