Evaluate 64^(1/6)

$64^{\frac{1}{6}}$

Step 1

Simplify the expression.

Rewrite $64$ as $2^{6}$ .

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

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

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

Step 2

Cancel the common factor of $6$ .

Cancel the common factor.

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

Rewrite the expression.

$2^{1}$

Step 3

Evaluate the exponent.

$2$