Evaluate -2(-2^3)-3(-2^2)+4

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

Step 1

Simplify each term.

Raise $2$ to the power of $3$ .

$- 2 \cdot (- 1 \cdot 8) - 3 \cdot (- 2^{2}) + 4$

Multiply $- 2 (- 1 \cdot 8)$ .

Multiply $- 1$ by $8$ .

$- 2 \cdot - 8 - 3 \cdot (- 2^{2}) + 4$

Multiply $- 2$ by $- 8$ .

$16 - 3 \cdot (- 2^{2}) + 4$

$16 - 3 \cdot (- 2^{2}) + 4$

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

$16 - 3 \cdot (- 1 \cdot 4) + 4$

Multiply $- 3 (- 1 \cdot 4)$ .

Multiply $- 1$ by $4$ .

$16 - 3 \cdot - 4 + 4$

Multiply $- 3$ by $- 4$ .

$16 + 12 + 4$

$16 + 12 + 4$

$16 + 12 + 4$

Step 2

Simplify by adding numbers.

Add $16$ and $12$ .

$28 + 4$

Add $28$ and $4$ .

$32$

$32$

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