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: 54

Answer

$\frac{2}{b^{10}}$

Work Step by Step

Group factors with the same base: $$\frac{20b^{10}}{10b^{20}}$$ $$=(\frac{20}{10})(\frac{b^{10}}{b^{20}})$$ When dividing factors with the same non-zero base, subtract the exponent of the denominator from the exponent of the numerator: $$=2b^{(10-20)}$$ $$=2b^{(-10)}$$ Write as a fraction and move the base with the negative exponent to the other side of the fraction and make the exponent positive: $$=\frac{2}{b^{10}}$$
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