Solve 10^-1:2^-5*5^-1

$$10 ^ { - 1 } : 2 ^ { - 5 } \cdot 5 ^ { - 1 }$$

Evaluate

$$\frac{16}{25}=0.64$$

Solution Steps

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

$$\frac{\frac{1}{10}}{2^{-5}}\times 5^{-1}$$

Calculate 2 to the power of -5 and get \frac{1}{32}.

$$\frac{\frac{1}{10}}{\frac{1}{32}}\times 5^{-1}$$

Divide \frac{1}{10} by \frac{1}{32} by multiplying \frac{1}{10} by the reciprocal of \frac{1}{32}.

$$\frac{1}{10}\times 32\times 5^{-1}$$

Multiply \frac{1}{10} and 32 to get \frac{16}{5}.

$$\frac{16}{5}\times 5^{-1}$$

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

$$\frac{16}{5}\times \frac{1}{5}$$

Multiply \frac{16}{5} and \frac{1}{5} to get \frac{16}{25}.

$$\frac{16}{25}$$

Factor

$$\frac{2 ^ {4}}{5 ^ {2}} = 0.64$$