Question

evaluate.
$256^{\frac{1}{4}} = \square$
$27^{\frac{1}{3}} = \square$

Explanation:

Step1: Rewrite base as power of 4

$256 = 4^4$

Step2: Apply exponent power rule

$256^{\frac{1}{4}} = (4^4)^{\frac{1}{4}} = 4^{4 \times \frac{1}{4}} = 4^1$

Step3: Rewrite base as power of 3

$27 = 3^3$

Step4: Apply exponent power rule

$27^{\frac{1}{3}} = (3^3)^{\frac{1}{3}} = 3^{3 \times \frac{1}{3}} = 3^1$

Answer:

$256^{\frac{1}{4}} = 4$
$27^{\frac{1}{3}} = 3$