Evaluate -4^2+3(15-11)-2(6+2^3)

$- 4^{2} + 3 (15 - 11) - 2 (6 + 2^{3})$

Step 1

Simplify each term.

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

$- 1 \cdot 16 + 3 (15 - 11) - 2 (6 + 2^{3})$

Multiply $- 1$ by $16$ .

$- 16 + 3 (15 - 11) - 2 (6 + 2^{3})$

Subtract $11$ from $15$ .

$- 16 + 3 \cdot 4 - 2 (6 + 2^{3})$

Multiply $3$ by $4$ .

$- 16 + 12 - 2 (6 + 2^{3})$

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

$- 16 + 12 - 2 (6 + 8)$

Add $6$ and $8$ .

$- 16 + 12 - 2 \cdot 14$

Multiply $- 2$ by $14$ .

$- 16 + 12 - 28$

$- 16 + 12 - 28$

Step 2

Simplify by adding and subtracting.

Add $- 16$ and $12$ .

$- 4 - 28$

Subtract $28$ from $- 4$ .

$- 32$

$- 32$

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