The expression shown in the image is $64^{\frac{1}{4}}$, which is equivalent to the fourth root of 64. To solve this:

$64^{\frac{1}{4}} = \sqrt[4]{64}$

Since $64 = 4^3$, we can rewrite this as:

$64^{\frac{1}{4}} = (4^3)^{\frac{1}{4}} = 4^{3 \times \frac{1}{4}} = 4^{\frac{3}{4}}$

Thus, ( 64^{\frac{1}{4}} = 4