Simplify (-1296^(3/4))

$(- 1296^{\frac{3}{4}})$

Simplify the expression.

Remove parentheses.

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

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

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

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

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$- 6^{3}$

Simplify the expression.

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

$- 1 \cdot 216$

Multiply $- 1$ by $216$ .

$- 216$