College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.2 - Page 33: 100

Answer

$3\times10^{-8}$

Work Step by Step

$$\frac{7.5\times10^{-2}}{2.5\times10^{6}}$$ Regroup like terms then simplify $$=(\frac{7.5}{2.5})(\frac{10^{-2}}{10^{6}})$$ When dividing exponential expressions with the same non-zero base, subtract the exponent of the denominator from the exponent of the numerator. $$=3\times10^{(-2-6)}$$ $$=3\times10^{-8}$$
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