Solve -2^-1/-frac{1{2}+1^-1}(2^-1-1/2/2)

$$\frac { - 2 ^ { - 1 } } { - \frac { 1 } { 2 } + 1 ^ { - 1 } } ( 2 ^ { - 1 } - \frac { \frac { 1 } { 2 } } { 2 } )$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

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

$$\frac{-\frac{1}{2}}{-\frac{1}{2}+1^{-1}}\left(2^{-1}-\frac{\frac{1}{2}}{2}\right)$$

Calculate 1 to the power of -1 and get 1.

$$\frac{-\frac{1}{2}}{-\frac{1}{2}+1}\left(2^{-1}-\frac{\frac{1}{2}}{2}\right)$$

Add -\frac{1}{2} and 1 to get \frac{1}{2}.

$$\frac{-\frac{1}{2}}{\frac{1}{2}}\left(2^{-1}-\frac{\frac{1}{2}}{2}\right)$$

Divide -\frac{1}{2} by \frac{1}{2} to get -1.

$$-\left(2^{-1}-\frac{\frac{1}{2}}{2}\right)$$

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

$$-\left(\frac{1}{2}-\frac{\frac{1}{2}}{2}\right)$$

Express \frac{\frac{1}{2}}{2} as a single fraction.

$$-\left(\frac{1}{2}-\frac{1}{2\times 2}\right)$$

Multiply 2 and 2 to get 4.

$$-\left(\frac{1}{2}-\frac{1}{4}\right)$$

Subtract \frac{1}{4} from \frac{1}{2} to get \frac{1}{4}.

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

Factor

$$-\frac{1}{4} = -0.25$$