Solve sqrt[3]{3*5.3*10^-3/1000*3.14*4*100}

$$\sqrt[3]{ \frac{ 3 \times 5.3 \times { 10 }^{ -3 } }{ 1000 \times 3.14 \times 4 \times 100 } }$$

Evaluate

$$\frac{\sqrt[3]{159}\times 1570^{\frac{2}{3}}}{314000}\approx 0.002330608$$

Solution Steps

Multiply 3 and 5.3 to get 15.9.

$$\sqrt[3]{\frac{15.9\times 10^{-3}}{1000\times 3.14\times 4\times 100}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\sqrt[3]{\frac{15.9\times \frac{1}{1000}}{1000\times 3.14\times 4\times 100}}$$

Multiply 15.9 and \frac{1}{1000} to get \frac{159}{10000}.

$$\sqrt[3]{\frac{\frac{159}{10000}}{1000\times 3.14\times 4\times 100}}$$

Multiply 1000 and 3.14 to get 3140.

$$\sqrt[3]{\frac{\frac{159}{10000}}{3140\times 4\times 100}}$$

Multiply 3140 and 4 to get 12560.

$$\sqrt[3]{\frac{\frac{159}{10000}}{12560\times 100}}$$

Multiply 12560 and 100 to get 1256000.

$$\sqrt[3]{\frac{\frac{159}{10000}}{1256000}}$$

Express \frac{\frac{159}{10000}}{1256000} as a single fraction.

$$\sqrt[3]{\frac{159}{10000\times 1256000}}$$

Multiply 10000 and 1256000 to get 12560000000.

$$\sqrt[3]{\frac{159}{12560000000}}$$