Solve sqrt[3]{-1000/64*27/216}=

$$\sqrt[ 3 ] { - \frac { 1000 } { 64 } \cdot \frac { 27 } { 216 } } =$$

Evaluate

$$-\frac{5}{4}=-1.25$$

Solution Steps

Reduce the fraction \frac{1000}{64} to lowest terms by extracting and canceling out 8.

$$\sqrt[3]{-\frac{125}{8}\times \frac{27}{216}}$$

Reduce the fraction \frac{27}{216} to lowest terms by extracting and canceling out 27.

$$\sqrt[3]{-\frac{125}{8}\times \frac{1}{8}}$$

Multiply -\frac{125}{8} and \frac{1}{8} to get -\frac{125}{64}.

$$\sqrt[3]{-\frac{125}{64}}$$

Calculate \sqrt[3]{-\frac{125}{64}} and get -\frac{5}{4}.

$$-\frac{5}{4}$$

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$