Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Lesson Check - Page 443: 1

Answer

$\frac{1}{y^7}$

Work Step by Step

We start with the given expression: $\frac{y^3}{y^{10}}$ To divide powers with the same base, we subtract the exponents. When the bigger power is in the denominator, we subtract the power in the numerator from the power in the denominator, and leave the term in the denominator: $\frac{1}{y^{10-3}}=\frac{1}{y^7}$
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