Solve 307555313*10^10-(284125)^2/10

$$307555313 \times 10 ^ { 10 } - ( 284125 ) ^ { 2 } / 10$$

Evaluate

$$\frac{6151106243854596875}{2}=3.075553122 \cdot 10^{18}$$

Solution Steps

Calculate 10 to the power of 10 and get 10000000000.

$$307555313\times 10000000000-\frac{284125^{2}}{10}$$

Multiply 307555313 and 10000000000 to get 3075553130000000000.

$$3075553130000000000-\frac{284125^{2}}{10}$$

Calculate 284125 to the power of 2 and get 80727015625.

$$3075553130000000000-\frac{80727015625}{10}$$

Reduce the fraction \frac{80727015625}{10} to lowest terms by extracting and canceling out 5.

$$3075553130000000000-\frac{16145403125}{2}$$

Convert 3075553130000000000 to fraction \frac{6151106260000000000}{2}.

$$\frac{6151106260000000000}{2}-\frac{16145403125}{2}$$

Since \frac{6151106260000000000}{2} and \frac{16145403125}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6151106260000000000-16145403125}{2}$$

Subtract 16145403125 from 6151106260000000000 to get 6151106243854596875.

$$\frac{6151106243854596875}{2}$$

Factor

$$\frac{5 ^ {5} \cdot 10069 \cdot 195486542659}{2} = 3.0755531219272987 \times 10^{18}$$