Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Test - Page 417: 22



Work Step by Step

When we take the quotient of two exponential expressions with the same base, we can divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator: $$\frac{20}{5}x^{3-8}$$ Divide the coefficients: $$4x^{3-8}$$ Subtract the exponents: $$4x^{-5}$$ To get rid of the negative exponent, move the base into the denominator and change the sign of the exponent from negative to positive: $$\frac{4}{x^5}$$
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