Solve 3*10^8div1.24*10^8

$$3 \times { 10 }^{ 8 } \div 1.24 \times { 10 }^{ 8 }$$

Evaluate

$$\frac{750000000000000000}{31}\approx 2.419354839 \cdot 10^{16}$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{3\times 100000000}{1.24}\times 10^{8}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{300000000}{1.24}\times 10^{8}$$

Expand \frac{300000000}{1.24} by multiplying both numerator and the denominator by 100.

$$\frac{30000000000}{124}\times 10^{8}$$

Reduce the fraction \frac{30000000000}{124} to lowest terms by extracting and canceling out 4.

$$\frac{7500000000}{31}\times 10^{8}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{7500000000}{31}\times 100000000$$

Express \frac{7500000000}{31}\times 100000000 as a single fraction.

$$\frac{7500000000\times 100000000}{31}$$

Multiply 7500000000 and 100000000 to get 750000000000000000.

$$\frac{750000000000000000}{31}$$

Factor

$$\frac{3 \cdot 2 ^ {16} \cdot 5 ^ {18}}{31} = 24193548387096776\frac{6}{31} = 24193548387096776$$