Simplify 64^(3/6)

$64^{\frac{3}{6}}$

Step 1

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

$64^{\frac{3 (1)}{6}}$

Cancel the common factors.

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Simplify the expression.

Rewrite $64$ as $8^{2}$ .

${(8^{2})}^{\frac{1}{2}}$

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

$8^{2 (\frac{1}{2})}$

Step 3

Cancel the common factor of $2$ .

Cancel the common factor.

$8^{2 (\frac{1}{2})}$

Rewrite the expression.

$8^{1}$

Step 4

Evaluate the exponent.

$8$