Solve sqrt[3]{-0.001}*sqrt[3]{125}*sqrt[3]{(-2)^3}

$$\sqrt[ 3 ] { - 0.001 } \times \sqrt[ 3 ] { 125 } \times \sqrt[ 3 ] { ( - 2 ) ^ { 3 } }$$

Evaluate

$$1$$

Solution Steps

Calculate \sqrt[3]{-0.001} and get -\frac{1}{10}.

$$-\frac{1}{10}\sqrt[3]{125}\sqrt[3]{\left(-2\right)^{3}}$$

Calculate \sqrt[3]{125} and get 5.

$$-\frac{1}{10}\times 5\sqrt[3]{\left(-2\right)^{3}}$$

Multiply -\frac{1}{10} and 5 to get -\frac{1}{2}.

$$-\frac{1}{2}\sqrt[3]{\left(-2\right)^{3}}$$

Calculate -2 to the power of 3 and get -8.

$$-\frac{1}{2}\sqrt[3]{-8}$$

Calculate \sqrt[3]{-8} and get -2.

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

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

$$1$$

Factor

$$1$$