Algebra
Intermediate

Rational Exponent

A fractional exponent is a root and a power combined.

Formula

am/n=amna^{m/n} = \sqrt[n]{a^m}

Variables

aBase
m,nExponent terms

Example

8^{2/3}=4

Did You Know?

Fractional exponents unify roots and powers, so the nth root of x is simply x raised to the power 1/n.

exponentradical