Solve 7.75*10^13/2.25*10^-13

$$\frac{ 7.75 \times { 10 }^{ 13 } }{ 2.25 \times { 10 }^{ -13 } }$$

Evaluate

$$\frac{3100000000000000000000000000}{9}\approx 3.444444444 \cdot 10^{26}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{7.75\times 10^{26}}{2.25}$$

Calculate 10 to the power of 26 and get 100000000000000000000000000.

$$\frac{7.75\times 100000000000000000000000000}{2.25}$$

Multiply 7.75 and 100000000000000000000000000 to get 775000000000000000000000000.

$$\frac{775000000000000000000000000}{2.25}$$

Expand \frac{775000000000000000000000000}{2.25} by multiplying both numerator and the denominator by 100.

$$\frac{77500000000000000000000000000}{225}$$

Reduce the fraction \frac{77500000000000000000000000000}{225} to lowest terms by extracting and canceling out 25.

$$\frac{3100000000000000000000000000}{9}$$

Factor

$$\frac{31 \cdot 2 ^ {26} \cdot 5 ^ {26}}{3 ^ {2}} = 3.444444444444444 \times 10^{26}\frac{1}{9} = 3.444444444444444 \times 10^{26}$$