Simplify 64^(2/6)

$64^{\frac{2}{6}}$

Step 1

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2$ .

$64^{\frac{2 (1)}{6}}$

Cancel the common factors.

Factor $2$ out of $6$ .

$64^{\frac{2 \cdot 1}{2 \cdot 3}}$

Cancel the common factor.

$64^{\frac{2 \cdot 1}{2 \cdot 3}}$

Rewrite the expression.

$64^{\frac{1}{3}}$

Step 2

Simplify the expression.

Rewrite $64$ as $4^{3}$ .

${(4^{3})}^{\frac{1}{3}}$

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

$4^{3 (\frac{1}{3})}$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$4^{3 (\frac{1}{3})}$

Rewrite the expression.

$4^{1}$

Step 4

Evaluate the exponent.

$4$