Evaluate 1296^(3/4)

$1296^{\frac{3}{4}}$

Step 1

Simplify the expression.

Rewrite $1296$ as $6^{4}$ .

${(6^{4})}^{\frac{3}{4}}$

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

$6^{4 (\frac{3}{4})}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$6^{4 (\frac{3}{4})}$

Rewrite the expression.

$6^{3}$

Step 3

Raise $6$ to the power of $3$ .

$216$