# How do you simplify fractions with exponents?

May 6, 2016

See explanation.

#### Explanation:

You can only simplify fractionds with exponents if eitheir their bases or exponents are equal.

• if bases are equal then you can write the fraction as one power using the formula:

## ${a}^{m} / {a}^{n} = {a}^{m - n}$

• if exponents are equal then you can use the formula:

## ${a}^{m} / {b}^{m} = {\left(\frac{a}{b}\right)}^{m}$

and simplify the fraction $\frac{a}{b}$ if possible