Solve (-1)^{1}+(-1)^2+(-1)^3+(-1)^4+(-1)^5

$$( - 1 ) ^ { 1 } + ( - 1 ) ^ { 2 } + ( - 1 ) ^ { 3 } + ( - 1 ) ^ { 4 } + ( - 1 ) ^ { 5 }$$

Evaluate

$$-1$$

Solution Steps

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

$$-1+\left(-1\right)^{2}+\left(-1\right)^{3}+\left(-1\right)^{4}+\left(-1\right)^{5}$$

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

$$-1+1+\left(-1\right)^{3}+\left(-1\right)^{4}+\left(-1\right)^{5}$$

Add -1 and 1 to get 0.

$$\left(-1\right)^{3}+\left(-1\right)^{4}+\left(-1\right)^{5}$$

Calculate -1 to the power of 3 and get -1.

$$-1+\left(-1\right)^{4}+\left(-1\right)^{5}$$

Calculate -1 to the power of 4 and get 1.

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

Add -1 and 1 to get 0.

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

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

$$-1$$

Factor

$$-1$$