Solve (-2)^5-(-1)^2+(-3)^2-(-2)^5

$$( - 2 ) ^ { 5 } - ( - 1 ) ^ { 2 } + ( - 3 ) ^ { 2 } - ( - 2 ) ^ { 5 }$$

Evaluate

$$8$$

Solution Steps

Calculate -2 to the power of 5 and get -32.

$$-32-\left(-1\right)^{2}+\left(-3\right)^{2}-\left(-2\right)^{5}$$

Calculate -1 to the power of 2 and get 1.

$$-32-1+\left(-3\right)^{2}-\left(-2\right)^{5}$$

Subtract 1 from -32 to get -33.

$$-33+\left(-3\right)^{2}-\left(-2\right)^{5}$$

Calculate -3 to the power of 2 and get 9.

$$-33+9-\left(-2\right)^{5}$$

Add -33 and 9 to get -24.

$$-24-\left(-2\right)^{5}$$

Calculate -2 to the power of 5 and get -32.

$$-24-\left(-32\right)$$

The opposite of -32 is 32.

$$-24+32$$

Add -24 and 32 to get 8.

$$8$$

Factor

$$2^{3}$$