Solve 2^-6-2^6/2^-8

$$\frac{ { 2 }^{ -6 } - { 2 }^{ 6 } }{ { 2 }^{ -8 } }$$

Evaluate

$$-16380$$

Solution Steps

Calculate 2 to the power of -6 and get \frac{1}{64}.

$$\frac{\frac{1}{64}-2^{6}}{2^{-8}}$$

Calculate 2 to the power of 6 and get 64.

$$\frac{\frac{1}{64}-64}{2^{-8}}$$

Subtract 64 from \frac{1}{64} to get -\frac{4095}{64}.

$$\frac{-\frac{4095}{64}}{2^{-8}}$$

Calculate 2 to the power of -8 and get \frac{1}{256}.

$$\frac{-\frac{4095}{64}}{\frac{1}{256}}$$

Divide -\frac{4095}{64} by \frac{1}{256} by multiplying -\frac{4095}{64} by the reciprocal of \frac{1}{256}.

$$-\frac{4095}{64}\times 256$$

Multiply -\frac{4095}{64} and 256 to get -16380.

$$-16380$$

Factor

$$-16380$$