Solve 1/5+0,2^2/3^2+(-1)^4

$$\frac { \frac { 1 } { 5 } + 0,2 ^ { 2 } } { 3 ^ { 2 } + ( - 1 ) ^ { 4 } }$$

Evaluate

$$\frac{1}{50}=0,02$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{\frac{1}{5}+0\times 4}{3^{2}+\left(-1\right)^{4}}$$

Multiply 0 and 4 to get 0.

$$\frac{\frac{1}{5}+0}{3^{2}+\left(-1\right)^{4}}$$

Add \frac{1}{5} and 0 to get \frac{1}{5}.

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

Calculate 3 to the power of 2 and get 9.

$$\frac{\frac{1}{5}}{9+\left(-1\right)^{4}}$$

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

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

Add 9 and 1 to get 10.

$$\frac{\frac{1}{5}}{10}$$

Express \frac{\frac{1}{5}}{10} as a single fraction.

$$\frac{1}{5\times 10}$$

Multiply 5 and 10 to get 50.

$$\frac{1}{50}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$