Simplify (x^4)^(3/2)

${(x^{4})}^{\frac{3}{2}}$

Step 1

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

$x^{4 (\frac{3}{2})}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$x^{2 \cdot 3}$

Step 3

Multiply $2$ by $3$ .

$x^{6}$