Solve 2(1.03*9.81*10^4+1025*9.81*15-1785)/1025*100^2

$$\frac{ 2(1.03 \times 9.81 \times { 10 }^{ 4 } +1025 \times 9.81 \times 15-1785) }{ 1025 \times { 100 }^{ 2 } }$$

Evaluate

$$\frac{1000347}{20500000}\approx 0.048797415$$

Solution Steps

Multiply 1.03 and 9.81 to get 10.1043.

$$\frac{2\left(10.1043\times 10^{4}+1025\times 9.81\times 15-1785\right)}{1025\times 100^{2}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{2\left(10.1043\times 10000+1025\times 9.81\times 15-1785\right)}{1025\times 100^{2}}$$

Multiply 10.1043 and 10000 to get 101043.

$$\frac{2\left(101043+1025\times 9.81\times 15-1785\right)}{1025\times 100^{2}}$$

Multiply 1025 and 9.81 to get 10055.25.

$$\frac{2\left(101043+10055.25\times 15-1785\right)}{1025\times 100^{2}}$$

Multiply 10055.25 and 15 to get 150828.75.

$$\frac{2\left(101043+150828.75-1785\right)}{1025\times 100^{2}}$$

Add 101043 and 150828.75 to get 251871.75.

$$\frac{2\left(251871.75-1785\right)}{1025\times 100^{2}}$$

Subtract 1785 from 251871.75 to get 250086.75.

$$\frac{2\times 250086.75}{1025\times 100^{2}}$$

Multiply 2 and 250086.75 to get 500173.5.

$$\frac{500173.5}{1025\times 100^{2}}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{500173.5}{1025\times 10000}$$

Multiply 1025 and 10000 to get 10250000.

$$\frac{500173.5}{10250000}$$

Expand \frac{500173.5}{10250000} by multiplying both numerator and the denominator by 10.

$$\frac{5001735}{102500000}$$

Reduce the fraction \frac{5001735}{102500000} to lowest terms by extracting and canceling out 5.

$$\frac{1000347}{20500000}$$

Factor

$$\frac{3 \cdot 333449}{41 \cdot 2 ^ {5} \cdot 5 ^ {6}} = 0.048797414634146344$$