Solve sqrt[3]{9*8*6.37*10^6*3600*6/3.14^2}

$$\sqrt[ 3 ] { \frac { 9 \cdot 8 \times 6.37 \times 10 ^ { 6 } \times 3600 \times 6 } { 3.14 ^ { 2 } } }$$

Evaluate

$$\frac{6000\sqrt[3]{114660}\times 24649^{\frac{2}{3}}}{24649}\approx 10015.87266532$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\sqrt[3]{\frac{72\times 6.37\times 10^{6}\times 3600\times 6}{3.14^{2}}}$$

Multiply 72 and 6.37 to get 458.64.

$$\sqrt[3]{\frac{458.64\times 10^{6}\times 3600\times 6}{3.14^{2}}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\sqrt[3]{\frac{458.64\times 1000000\times 3600\times 6}{3.14^{2}}}$$

Multiply 458.64 and 1000000 to get 458640000.

$$\sqrt[3]{\frac{458640000\times 3600\times 6}{3.14^{2}}}$$

Multiply 458640000 and 3600 to get 1651104000000.

$$\sqrt[3]{\frac{1651104000000\times 6}{3.14^{2}}}$$

Multiply 1651104000000 and 6 to get 9906624000000.

$$\sqrt[3]{\frac{9906624000000}{3.14^{2}}}$$

Calculate 3.14 to the power of 2 and get 9.8596.

$$\sqrt[3]{\frac{9906624000000}{9.8596}}$$

Expand \frac{9906624000000}{9.8596} by multiplying both numerator and the denominator by 10000.

$$\sqrt[3]{\frac{99066240000000000}{98596}}$$

Reduce the fraction \frac{99066240000000000}{98596} to lowest terms by extracting and canceling out 4.

$$\sqrt[3]{\frac{24766560000000000}{24649}}$$