Solve 32^-1/8^-1

$$\frac { 32 ^ { - 1 } } { 8 ^ { - 1 } }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

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

$$\frac{\frac{1}{32}}{8^{-1}}$$

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

$$\frac{\frac{1}{32}}{\frac{1}{8}}$$

Divide \frac{1}{32} by \frac{1}{8} by multiplying \frac{1}{32} by the reciprocal of \frac{1}{8}.

$$\frac{1}{32}\times 8$$

Multiply \frac{1}{32} and 8 to get \frac{1}{4}.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$