Solve sqrt[1]{1/2*frac{1/4}*1/8}{1-1/2}}

$$\frac { \sqrt[ 1 ] { \frac { 1 } { 2 } \cdot \frac { 1 } { 4 } } \cdot \frac { 1 } { 8 } } { 1 - \frac { 1 } { 2 } } \}$$

Evaluate

$$\frac{1}{32}=0.03125$$

Solution Steps

Multiply \frac{1}{2} and \frac{1}{4} to get \frac{1}{8}.

$$\frac{\sqrt[1]{\frac{1}{8}}\times \frac{1}{8}}{1-\frac{1}{2}}$$

Calculate \sqrt[1]{\frac{1}{8}} and get \frac{1}{8}.

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

Multiply \frac{1}{8} and \frac{1}{8} to get \frac{1}{64}.

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

Subtract \frac{1}{2} from 1 to get \frac{1}{2}.

$$\frac{\frac{1}{64}}{\frac{1}{2}}$$

Divide \frac{1}{64} by \frac{1}{2} by multiplying \frac{1}{64} by the reciprocal of \frac{1}{2}.

$$\frac{1}{64}\times 2$$

Multiply \frac{1}{64} and 2 to get \frac{1}{32}.

$$\frac{1}{32}$$

Factor

$$\frac{1}{2 ^ {5}} = 0.03125$$