Question

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

Explanation:

Step1: Rewrite base as power of 3

$81 = 3^4$

Step2: Substitute into original expression

$81^{\frac{1}{4}} = (3^4)^{\frac{1}{4}}$

Step3: Apply exponent power rule

$(3^4)^{\frac{1}{4}} = 3^{4 \times \frac{1}{4}} = 3^1$

Step4: Simplify the final exponent

$3^1 = 3$

Answer:

3