Solve sqrt[3]{3*53*10^-3/1000*314*4*100}

$$\sqrt[3]{ \frac{ 3 \times 53 \times { 10 }^{ -3 } }{ 1000 \times 314 \times 4 \times 100 } }$$

Evaluate

$$\frac{\sqrt[3]{159}\times 15700^{\frac{2}{3}}}{3140000}\approx 0.001081772$$

Solution Steps

Multiply 3 and 53 to get 159.

$$\sqrt[3]{\frac{159\times 10^{-3}}{1000\times 314\times 4\times 100}}$$

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

$$\sqrt[3]{\frac{159\times \frac{1}{1000}}{1000\times 314\times 4\times 100}}$$

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

$$\sqrt[3]{\frac{\frac{159}{1000}}{1000\times 314\times 4\times 100}}$$

Multiply 1000 and 314 to get 314000.

$$\sqrt[3]{\frac{\frac{159}{1000}}{314000\times 4\times 100}}$$

Multiply 314000 and 4 to get 1256000.

$$\sqrt[3]{\frac{\frac{159}{1000}}{1256000\times 100}}$$

Multiply 1256000 and 100 to get 125600000.

$$\sqrt[3]{\frac{\frac{159}{1000}}{125600000}}$$

Express \frac{\frac{159}{1000}}{125600000} as a single fraction.

$$\sqrt[3]{\frac{159}{1000\times 125600000}}$$

Multiply 1000 and 125600000 to get 125600000000.

$$\sqrt[3]{\frac{159}{125600000000}}$$