Evaluate -16^(5/2)

$- 16^{\frac{5}{2}}$

Step 1

Simplify the expression.

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

$- {(4^{2})}^{\frac{5}{2}}$

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

$- 4^{2 (\frac{5}{2})}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$- 4^{2 (\frac{5}{2})}$

Rewrite the expression.

$- 4^{5}$

Step 3

Simplify the expression.

Raise $4$ to the power of $5$ .

$- 1 \cdot 1024$

Multiply $- 1$ by $1024$ .

$- 1024$