Evaluate ((-5+1)÷2)^3-|-7|

${((- 5 + 1) \div 2)}^{3} - | - 7 |$

Step 1

Simplify each term.

Rewrite the division as a fraction.

${(\frac{- 5 + 1}{2})}^{3} - | - 7 |$

Add $- 5$ and $1$ .

${(\frac{- 4}{2})}^{3} - | - 7 |$

Divide $- 4$ by $2$ .

${(- 2)}^{3} - | - 7 |$

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

$- 8 - | - 7 |$

The absolute value is the distance between a number and zero. The distance between $- 7$ and $0$ is $7$ .

$- 8 - 1 \cdot 7$

Multiply $- 1$ by $7$ .

$- 8 - 7$

Step 2

Subtract $7$ from $- 8$ .

$- 15$