Solve (2-5/2)^3/(1/4)^1/2

$$( 2 - \frac { 5 } { 2 } ) ^ { 3 } / ( \frac { 1 } { 4 } ) ^ { 1 / 2 }$$

Evaluate

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

Solution Steps

Subtract \frac{5}{2} from 2 to get -\frac{1}{2}.

$$\frac{\left(-\frac{1}{2}\right)^{3}}{\left(\frac{1}{4}\right)^{\frac{1}{2}}}$$

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

$$\frac{-\frac{1}{8}}{\left(\frac{1}{4}\right)^{\frac{1}{2}}}$$

Calculate \frac{1}{4} to the power of \frac{1}{2} and get \frac{1}{2}.

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

Divide -\frac{1}{8} by \frac{1}{2} by multiplying -\frac{1}{8} by the reciprocal of \frac{1}{2}.

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

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

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

Factor

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