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: 82



Work Step by Step

We evaluate the exponents first. To evaluate the exponents, we use the power rule to rewrite the exponents in the numerator: $$\frac{(3^4)y^{(3)(4)}}{y^{10}}$$ We simplify the fraction: $$\frac{81y^{12}}{y^{10}}$$ 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: $$81y^{12-10}$$ Simplify: $$81y^2$$
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