Solve sqrt[3]{13.5div4/3div3.14}

$$\sqrt[3]{ 13.5 \div \frac{ 4 }{ 3 } \div 3.14 }$$

Evaluate

$$\frac{3\sqrt[3]{75}\times 628^{\frac{2}{3}}}{628}\approx 1.477367229$$

Solution Steps

Express \frac{\frac{13.5}{\frac{4}{3}}}{3.14} as a single fraction.

$$\sqrt[3]{\frac{13.5}{\frac{4}{3}\times 3.14}}$$

Multiply \frac{4}{3} and 3.14 to get \frac{314}{75}.

$$\sqrt[3]{\frac{13.5}{\frac{314}{75}}}$$

Divide 13.5 by \frac{314}{75} by multiplying 13.5 by the reciprocal of \frac{314}{75}.

$$\sqrt[3]{13.5\times \frac{75}{314}}$$

Multiply 13.5 and \frac{75}{314} to get \frac{2025}{628}.

$$\sqrt[3]{\frac{2025}{628}}$$