# Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises: 17

$x^{-1}y^{3}$=$y^3/x$

#### Work Step by Step

When we multiply two numbers with different exponents but the same base, we raise the base to the power of the two exponents added together. Thus, we know that x should be raised to the power of 5+(-6), which equals -1. We know that y should be raised to the power of 2+1, which equals 3. Our answer, $y^3x^{-1}$, can be rewritten as: $y^3/x$.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.