Evaluate -(-2)^4+8(-2)^2+5

$- {(- 2)}^{4} + 8 {(- 2)}^{2} + 5$

Step 1

Simplify each term.

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

$- 1 \cdot 16 + 8 {(- 2)}^{2} + 5$

Multiply $- 1$ by $16$ .

$- 16 + 8 {(- 2)}^{2} + 5$

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

$- 16 + 8 \cdot 4 + 5$

Multiply $8$ by $4$ .

$- 16 + 32 + 5$

$- 16 + 32 + 5$

Step 2

Simplify by adding numbers.

Add $- 16$ and $32$ .

$16 + 5$

Add $16$ and $5$ .

$21$

$21$

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