Solve 4^-6/8^-6

$$\frac { 4 ^ { - 6 } } { 8 ^ { - 6 } }$$

Evaluate

$$64$$

Solution Steps

Calculate 4 to the power of -6 and get \frac{1}{4096}.

$$\frac{\frac{1}{4096}}{8^{-6}}$$

Calculate 8 to the power of -6 and get \frac{1}{262144}.

$$\frac{\frac{1}{4096}}{\frac{1}{262144}}$$

Divide \frac{1}{4096} by \frac{1}{262144} by multiplying \frac{1}{4096} by the reciprocal of \frac{1}{262144}.

$$\frac{1}{4096}\times 262144$$

Multiply \frac{1}{4096} and 262144 to get 64.

$$64$$

Factor

$$2^{6}$$