Solve sqrt[3]{20%*50%*80%}

$$\sqrt[ 3 ]{ 20 \% \times 50 \% \times 80 \% }$$

Evaluate

$$\frac{\sqrt[3]{2}\times 25^{\frac{2}{3}}}{25}\approx 0.430886938$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\sqrt[3]{\frac{1}{5}\times \frac{50}{100}\times \frac{80}{100}}$$

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\sqrt[3]{\frac{1}{5}\times \frac{1}{2}\times \frac{80}{100}}$$

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

$$\sqrt[3]{\frac{1}{10}\times \frac{80}{100}}$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\sqrt[3]{\frac{1}{10}\times \frac{4}{5}}$$

Multiply \frac{1}{10} and \frac{4}{5} to get \frac{2}{25}.

$$\sqrt[3]{\frac{2}{25}}$$