Simplify (-16^(3/2))

$(- 16^{\frac{3}{2}})$

Step 1

Simplify the expression.

Remove parentheses.

$- 16^{\frac{3}{2}}$

Rewrite $16$ as $4^{2}$ .

$- {(4^{2})}^{\frac{3}{2}}$

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

$- 4^{2 (\frac{3}{2})}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$- 4^{2 (\frac{3}{2})}$

Rewrite the expression.

$- 4^{3}$

Step 3

Simplify the expression.

Raise $4$ to the power of $3$ .

$- 1 \cdot 64$

Multiply $- 1$ by $64$ .

$- 64$