Question

What is the value of the expression below? 25614 O A. 4 OB. 16 O C. 64 OD. 8

Answer 1

Step 1: Problem

$256^{\frac{1}{4}}$

Step 2: Concept

Apply theorem of exponent

Step 3: Method

$\begin{gathered} 256=4^4 \\ 256^{\frac{1}{4}\text{ }}=(4^4)^{\frac{1}{4}} \\ =4^{\frac{4}{4}} \\ =4^1 \\ =\text{ 4} \end{gathered}$

Step 4: Final answer

4