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 - Review Exercises - Page 416: 80



Work Step by Step

First, we want to rewrite the expression so we don't have to work with negative exponents: $$\frac{(5)(6)x^2}{x^7}$$ We use the quotient rule for exponents to evaluate this expression. The quotient rule for exponents states that when we divide two powers that have the same base, then we can simply subtract the powers, keeping the same base. We multiply the constants first: $$\frac{30x^2}{x^7}$$ Simplifying, we get: $$30x^{-5}$$ Expressing the negative exponent as a positive exponent, we get: $$\frac{30}{x^5}$$
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