Solve sqrt[3]{1507*3*1/3.14*81/16}

$$\sqrt[3]{ 1507 \times 3 \times \frac{ 1 }{ 3.14 } \times \frac{ 81 }{ 16 } }$$

Evaluate

$$\frac{3\sqrt[3]{339075}\times 157^{\frac{2}{3}}}{314}\approx 19.389054515$$

Solution Steps

Multiply 1507 and 3 to get 4521.

$$\sqrt[3]{4521\times \frac{1}{3.14}\times \frac{81}{16}}$$

Expand \frac{1}{3.14} by multiplying both numerator and the denominator by 100.

$$\sqrt[3]{4521\times \frac{100}{314}\times \frac{81}{16}}$$

Reduce the fraction \frac{100}{314} to lowest terms by extracting and canceling out 2.

$$\sqrt[3]{4521\times \frac{50}{157}\times \frac{81}{16}}$$

Multiply 4521 and \frac{50}{157} to get \frac{226050}{157}.

$$\sqrt[3]{\frac{226050}{157}\times \frac{81}{16}}$$

Multiply \frac{226050}{157} and \frac{81}{16} to get \frac{9155025}{1256}.

$$\sqrt[3]{\frac{9155025}{1256}}$$