Solve 1/2^-3-1/2^-1)^-3

$$\frac { 1 } { 2 ^ { - 3 } } - \frac { 1 } { 2 ^ { - 1 } } ) ^ { - 3 }$$

Evaluate

$$6$$

Solution Steps

Calculate 2 to the power of -3 and get \frac{1}{8}.

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

Divide 1 by \frac{1}{8} by multiplying 1 by the reciprocal of \frac{1}{8}.

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

Multiply 1 and 8 to get 8.

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

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

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

Divide 1 by \frac{1}{2} by multiplying 1 by the reciprocal of \frac{1}{2}.

$$8-1\times 2$$

Multiply 1 and 2 to get 2.

$$8-2$$

Subtract 2 from 8 to get 6.

$$6$$

Factor

$$2\times 3$$