Simplify 8(x^4)^(1/2)

$8 {(x^{4})}^{\frac{1}{2}}$

Step 1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$8 x^{4 (\frac{1}{2})}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$8 x^{2 (2) \frac{1}{2}}$

Cancel the common factor.

$8 x^{2 \cdot 2 \frac{1}{2}}$

Rewrite the expression.

$8 x^{2}$