Solve 2^2+(-1)^4/3^2+(-1)^5

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

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

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

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

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

Add 4 and 1 to get 5.

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

Calculate 3 to the power of 2 and get 9.

$$\frac{5}{9+\left(-1\right)^{5}}$$

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

$$\frac{5}{9-1}$$

Subtract 1 from 9 to get 8.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$