Solve (-1)^{2}+(-1)^3+(-1)^4+(-1)^5+(-1)^6

$$( - 1 ) ^ { 2 } + ( - 1 ) ^ { 3 } + ( - 1 ) ^ { 4 } + ( - 1 ) ^ { 5 } + ( - 1 ) ^ { 6 }$$

Evaluate

$$1$$

Solution Steps

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

$$1+\left(-1\right)^{3}+\left(-1\right)^{4}+\left(-1\right)^{5}+\left(-1\right)^{6}$$

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

$$1-1+\left(-1\right)^{4}+\left(-1\right)^{5}+\left(-1\right)^{6}$$

Subtract 1 from 1 to get 0.

$$\left(-1\right)^{4}+\left(-1\right)^{5}+\left(-1\right)^{6}$$

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

$$1+\left(-1\right)^{5}+\left(-1\right)^{6}$$

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

$$1-1+\left(-1\right)^{6}$$

Subtract 1 from 1 to get 0.

$$\left(-1\right)^{6}$$

Calculate -1 to the power of 6 and get 1.

$$1$$

Factor

$$1$$