## College Algebra 7th Edition

$5^{\frac{1}{3}}$
For any rational exponent $\frac{1}{n}$, where $n>0$, we say that $a^{\frac{1}{n}}=\sqrt[n] a$. That is, we can rewrite a rational exponent as a root and vice versa. In the expression $\sqrt[3] 5$, we see that 5 is in the place of a and 3 is in the place of n. Using the equivalency above, we can rearrange the root into the exponential notation, $5^{\frac{1}{3}}$.