Solve 8^-5/9^-5

$$\frac { 8 ^ { - 5 } } { 9 ^ { - 5 } }$$

Evaluate

$$\frac{59049}{32768}=1.802032471$$

Solution Steps

Calculate 8 to the power of -5 and get \frac{1}{32768}.

$$\frac{\frac{1}{32768}}{9^{-5}}$$

Calculate 9 to the power of -5 and get \frac{1}{59049}.

$$\frac{\frac{1}{32768}}{\frac{1}{59049}}$$

Divide \frac{1}{32768} by \frac{1}{59049} by multiplying \frac{1}{32768} by the reciprocal of \frac{1}{59049}.

$$\frac{1}{32768}\times 59049$$

Multiply \frac{1}{32768} and 59049 to get \frac{59049}{32768}.

$$\frac{59049}{32768}$$

Factor

$$\frac{3 ^ {10}}{2 ^ {15}} = 1\frac{26281}{32768} = 1.802032470703125$$