Solve (-1/2)^5div(1/2)^3=

$$( - \frac { 1 } { 2 } ) ^ { 5 } \div ( \frac { 1 } { 2 } ) ^ { 3 } =$$

Evaluate

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

Solution Steps

Calculate -\frac{1}{2} to the power of 5 and get -\frac{1}{32}.

$$\frac{-\frac{1}{32}}{\left(\frac{1}{2}\right)^{3}}$$

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

$$\frac{-\frac{1}{32}}{\frac{1}{8}}$$

Divide -\frac{1}{32} by \frac{1}{8} by multiplying -\frac{1}{32} by the reciprocal of \frac{1}{8}.

$$-\frac{1}{32}\times 8$$

Express -\frac{1}{32}\times 8 as a single fraction.

$$\frac{-8}{32}$$

Reduce the fraction \frac{-8}{32} to lowest terms by extracting and canceling out 8.

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

Factor

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