Question

simplify.
81^{\frac{1}{4}}

Explanation:

Step1: Recall exponent rule

$a^{\frac{m}{n}}=\sqrt[n]{a^{m}}$. Here $a = 81$, $m = 1$, $n=4$, so $81^{\frac{1}{4}}=\sqrt[4]{81}$.

Step2: Find the fourth - root

We know that $3\times3\times3\times3=81$, so $\sqrt[4]{81}=3$.

Answer:

3