Simplify the Radical Expression (x^6)^(1/2)

${(x^{6})}^{\frac{1}{2}}$

Step 1

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

$x^{6 (\frac{1}{2})}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$x^{2 (3) \frac{1}{2}}$

Cancel the common factor.

$x^{2 \cdot 3 \frac{1}{2}}$

Rewrite the expression.

$x^{3}$