Solve 8^-2/4^-4

$$\frac { 8 ^ { - 2 } } { 4 ^ { - 4 } }$$

Evaluate

$$4$$

Solution Steps

Calculate 8 to the power of -2 and get \frac{1}{64}.

$$\frac{\frac{1}{64}}{4^{-4}}$$

Calculate 4 to the power of -4 and get \frac{1}{256}.

$$\frac{\frac{1}{64}}{\frac{1}{256}}$$

Divide \frac{1}{64} by \frac{1}{256} by multiplying \frac{1}{64} by the reciprocal of \frac{1}{256}.

$$\frac{1}{64}\times 256$$

Multiply \frac{1}{64} and 256 to get 4.

$$4$$

Factor

$$2^{2}$$