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: 83



Work Step by Step

To simplify the exponents, we use the power rule to rewrite the exponents in the denominator: $$\frac{y^{-7}}{y^{(4)(3)}}$$ We simplify the denominator: $$\frac{y^{-7}}{y^{12}}$$ We now use the quotient rule, which says that when we divide powers, we can subtract the power of the denominator from the power of the numerator, provided they both have the same base: $$y^{(-7-12)}$$ Simplify: $$y^{-19}$$ We rewrite the exponent to get rid of the negative exponent: $$\frac{1}{y^{19}}$$
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