Solve 800*500^3/3*70000*15.12*100000

$$\frac{ 800 \times { 500 }^{ 3 } }{ 3 \times 70000 \times 15.12 \times 100000 }$$

Evaluate

$$\frac{1250}{3969}\approx 0.314940791$$

Solution Steps

Cancel out 2\times 400 in both numerator and denominator.

$$\frac{500^{3}}{3\times 15.12\times 175\times 50000}$$

Calculate 500 to the power of 3 and get 125000000.

$$\frac{125000000}{3\times 15.12\times 175\times 50000}$$

Multiply 3 and 15.12 to get 45.36.

$$\frac{125000000}{45.36\times 175\times 50000}$$

Multiply 45.36 and 175 to get 7938.

$$\frac{125000000}{7938\times 50000}$$

Multiply 7938 and 50000 to get 396900000.

$$\frac{125000000}{396900000}$$

Reduce the fraction \frac{125000000}{396900000} to lowest terms by extracting and canceling out 100000.

$$\frac{1250}{3969}$$

Factor

$$\frac{2 \cdot 5 ^ {4}}{3 ^ {4} \cdot 7 ^ {2}} = 0.31494079113126733$$