Solve 2^3-|-2+3|*|-5|-(-7)=

$$2 ^ { 3 } - | - 2 + 3 | \cdot | - 5 | - ( - 7 ) =$$

Evaluate

$$10$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$8-|-2+3||-5|-\left(-7\right)$$

Add -2 and 3 to get 1.

$$8-|1||-5|-\left(-7\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1 is 1.

$$8-1|-5|-\left(-7\right)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$8-1\times 5-\left(-7\right)$$

Multiply 1 and 5 to get 5.

$$8-5-\left(-7\right)$$

Subtract 5 from 8 to get 3.

$$3-\left(-7\right)$$

The opposite of -7 is 7.

$$3+7$$

Add 3 and 7 to get 10.

$$10$$

Factor

$$2\times 5$$