Solve 70*left(14*24-6*26right)^2/20*50*40*30

$$\frac{ 70 \times { \left(14 \times 24-6 \times 26 \right) }^{ 2 } }{ 20 \times 50 \times 40 \times 30 }$$

Evaluate

$$\frac{189}{100}=1.89$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{7\left(14\times 24-6\times 26\right)^{2}}{2\times 30\times 40\times 50}$$

Multiply 14 and 24 to get 336.

$$\frac{7\left(336-6\times 26\right)^{2}}{2\times 30\times 40\times 50}$$

Multiply 6 and 26 to get 156.

$$\frac{7\left(336-156\right)^{2}}{2\times 30\times 40\times 50}$$

Subtract 156 from 336 to get 180.

$$\frac{7\times 180^{2}}{2\times 30\times 40\times 50}$$

Calculate 180 to the power of 2 and get 32400.

$$\frac{7\times 32400}{2\times 30\times 40\times 50}$$

Multiply 7 and 32400 to get 226800.

$$\frac{226800}{2\times 30\times 40\times 50}$$

Multiply 2 and 30 to get 60.

$$\frac{226800}{60\times 40\times 50}$$

Multiply 60 and 40 to get 2400.

$$\frac{226800}{2400\times 50}$$

Multiply 2400 and 50 to get 120000.

$$\frac{226800}{120000}$$

Reduce the fraction \frac{226800}{120000} to lowest terms by extracting and canceling out 1200.

$$\frac{189}{100}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{89}{100} = 1.89$$