Evaluate -4^3+3(-4)^2-9*-4-13

$- 4^{3} + 3 {(- 4)}^{2} - 9 \cdot - 4 - 13$

Step 1

Simplify each term.

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

$- 1 \cdot 64 + 3 {(- 4)}^{2} - 9 \cdot - 4 - 13$

Multiply $- 1$ by $64$ .

$- 64 + 3 {(- 4)}^{2} - 9 \cdot - 4 - 13$

Raise $- 4$ to the power of $2$ .

$- 64 + 3 \cdot 16 - 9 \cdot - 4 - 13$

Multiply $3$ by $16$ .

$- 64 + 48 - 9 \cdot - 4 - 13$

Multiply $- 9$ by $- 4$ .

$- 64 + 48 + 36 - 13$

$- 64 + 48 + 36 - 13$

Step 2

Simplify by adding and subtracting.

Add $- 64$ and $48$ .

$- 16 + 36 - 13$

Add $- 16$ and $36$ .

$20 - 13$

Subtract $13$ from $20$ .

$7$

$7$

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