Solve 310^8/1.3510^-6

$$\frac{ 3 { 10 }^{ 8 } }{ 1.35 { 10 }^{ -6 } }$$

Evaluate

$$\frac{2000000000000000}{9}\approx 2.222222222 \cdot 10^{14}$$

Solution Steps

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

$$\frac{3\times 10^{14}}{1.35}$$

Calculate 10 to the power of 14 and get 100000000000000.

$$\frac{3\times 100000000000000}{1.35}$$

Multiply 3 and 100000000000000 to get 300000000000000.

$$\frac{300000000000000}{1.35}$$

Expand \frac{300000000000000}{1.35} by multiplying both numerator and the denominator by 100.

$$\frac{30000000000000000}{135}$$

Reduce the fraction \frac{30000000000000000}{135} to lowest terms by extracting and canceling out 15.

$$\frac{2000000000000000}{9}$$

Factor

$$\frac{2 ^ {16} \cdot 5 ^ {15}}{3 ^ {2}} = 222222222222222\frac{2}{9} = 222222222222222.22$$