Solve -15+[(-20+15-8)*(-5+8)^2]-(-5)^1=

$$- 15 + [ ( - 20 + 15 - 8 ) \cdot ( - 5 + 8 ) ^ { 2 } ] - ( - 5 ) ^ { 1 } =$$

Evaluate

$$-127$$

Solution Steps

Add -20 and 15 to get -5.

$$-15+\left(-5-8\right)\left(-5+8\right)^{2}-\left(-5\right)^{1}$$

Subtract 8 from -5 to get -13.

$$-15-13\left(-5+8\right)^{2}-\left(-5\right)^{1}$$

Add -5 and 8 to get 3.

$$-15-13\times 3^{2}-\left(-5\right)^{1}$$

Calculate 3 to the power of 2 and get 9.

$$-15-13\times 9-\left(-5\right)^{1}$$

Multiply -13 and 9 to get -117.

$$-15-117-\left(-5\right)^{1}$$

Subtract 117 from -15 to get -132.

$$-132-\left(-5\right)^{1}$$

Calculate -5 to the power of 1 and get -5.

$$-132-\left(-5\right)$$

The opposite of -5 is 5.

$$-132+5$$

Add -132 and 5 to get -127.

$$-127$$

Factor

$$-127$$