Evaluate |-2^2-7|+5^2

$| - 2^{2} - 7 | + 5^{2}$

Step 1

Simplify each term.

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

$| - 1 \cdot 4 - 7 | + 5^{2}$

Multiply $- 1$ by $4$ .

$| - 4 - 7 | + 5^{2}$

Subtract $7$ from $- 4$ .

$| - 11 | + 5^{2}$

The absolute value is the distance between a number and zero. The distance between $- 11$ and $0$ is $11$ .

$11 + 5^{2}$

Raise $5$ to the power of $2$ .

$11 + 25$

Step 2

Add $11$ and $25$ .

$36$