Simplify (x^6)^(2/3)

${(x^{6})}^{\frac{2}{3}}$

Step 1

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

$x^{6 (\frac{2}{3})}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$x^{2 \cdot 2}$

Step 3

Multiply $2$ by $2$ .

$x^{4}$