Solve 100*(16*26-14*44)^2/30*70*60*40

$$\frac { 100 \times ( 16 \times 26 - 14 \times 44 ) ^ { 2 } } { 30 \times 70 \times 60 \times 40 }$$

Evaluate

$$\frac{50}{63}\approx 0.793650794$$

Solution Steps

Cancel out 10\times 10 in both numerator and denominator.

$$\frac{\left(16\times 26-14\times 44\right)^{2}}{3\times 7\times 40\times 60}$$

Multiply 16 and 26 to get 416.

$$\frac{\left(416-14\times 44\right)^{2}}{3\times 7\times 40\times 60}$$

Multiply 14 and 44 to get 616.

$$\frac{\left(416-616\right)^{2}}{3\times 7\times 40\times 60}$$

Subtract 616 from 416 to get -200.

$$\frac{\left(-200\right)^{2}}{3\times 7\times 40\times 60}$$

Calculate -200 to the power of 2 and get 40000.

$$\frac{40000}{3\times 7\times 40\times 60}$$

Multiply 3 and 7 to get 21.

$$\frac{40000}{21\times 40\times 60}$$

Multiply 21 and 40 to get 840.

$$\frac{40000}{840\times 60}$$

Multiply 840 and 60 to get 50400.

$$\frac{40000}{50400}$$

Reduce the fraction \frac{40000}{50400} to lowest terms by extracting and canceling out 800.

$$\frac{50}{63}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2} \cdot 7} = 0.7936507936507936$$