Solve 1/2^-111/2^7

$$\frac{ 1 }{ { 2 }^{ -11 } } \frac{ 1 }{ { 2 }^{ 7 } }$$

Evaluate

$$16$$

Solution Steps

Calculate 2 to the power of -11 and get \frac{1}{2048}.

$$\frac{1}{\frac{1}{2048}}\times \frac{1}{2^{7}}$$

Divide 1 by \frac{1}{2048} by multiplying 1 by the reciprocal of \frac{1}{2048}.

$$1\times 2048\times \frac{1}{2^{7}}$$

Multiply 1 and 2048 to get 2048.

$$2048\times \frac{1}{2^{7}}$$

Calculate 2 to the power of 7 and get 128.

$$2048\times \frac{1}{128}$$

Multiply 2048 and \frac{1}{128} to get 16.

$$16$$

Factor

$$2^{4}$$