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

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

Step 1

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

$x^{\frac{2}{3} \cdot 6}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$x^{2 \cdot 2}$

Step 3

Multiply $2$ by $2$ .

$x^{4}$