# How do you divide monomials with negative exponents?

## Question:

How do you divide monomials with negative exponents?

## Negative Exponents:

A negative exponent refers to the reciprocal of a value. So, if a base is in the numerator and has a negative exponent, the base should move to the denominator with the opposite exponent. For example, {eq}2^{-1}=\frac{1}{2^1}=\frac{1}{2} {/eq}. Likewise, if a base is in the denominator and has a negative exponent, the base should move to the numerator with the opposite exponent. For example, {eq}\frac{1}{3^{-2}}=3^2=9 {/eq}

## Answer and Explanation:

To divide monomials with negative exponents, divide each like base by subtracting the exponent of the divisor from the exponent of the dividend. Once...

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from 6th-8th Grade Math: Practice & Review

Chapter 55 / Lesson 3