Solve 8^-1*5^-1/2^-4

$$\frac { 8 ^ { - 1 } \times 5 ^ { - 1 } } { 2 ^ { - 4 } }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

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

$$\frac{\frac{1}{8}\times 5^{-1}}{2^{-4}}$$

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

$$\frac{\frac{1}{8}\times \frac{1}{5}}{2^{-4}}$$

Multiply \frac{1}{8} and \frac{1}{5} to get \frac{1}{40}.

$$\frac{\frac{1}{40}}{2^{-4}}$$

Calculate 2 to the power of -4 and get \frac{1}{16}.

$$\frac{\frac{1}{40}}{\frac{1}{16}}$$

Divide \frac{1}{40} by \frac{1}{16} by multiplying \frac{1}{40} by the reciprocal of \frac{1}{16}.

$$\frac{1}{40}\times 16$$

Multiply \frac{1}{40} and 16 to get \frac{2}{5}.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$