Evaluate 5 cube root of -64+45

$5 \sqrt[3]{- 64} + 45$

Simplify each term.

Rewrite $- 64$ as ${(- 4)}^{3}$ .

$5 \sqrt[3]{{(- 4)}^{3}} + 45$

Pull terms out from under the radical, assuming real numbers.

$5 \cdot - 4 + 45$

Multiply $5$ by $- 4$ .

$- 20 + 45$

Add $- 20$ and $45$ .

$25$