Solve 10^-1+5^-2-2^-3

$$10 ^ { - 1 } + 5 ^ { - 2 } - 2 ^ { - 3 }$$

Evaluate

$$\frac{3}{200}=0.015$$

Solution Steps

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$\frac{1}{10}+5^{-2}-2^{-3}$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$\frac{1}{10}+\frac{1}{25}-2^{-3}$$

Add \frac{1}{10} and \frac{1}{25} to get \frac{7}{50}.

$$\frac{7}{50}-2^{-3}$$

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$\frac{7}{50}-\frac{1}{8}$$

Subtract \frac{1}{8} from \frac{7}{50} to get \frac{3}{200}.

$$\frac{3}{200}$$

Factor

$$\frac{3}{2 ^ {3} \cdot 5 ^ {2}} = 0.015$$