Solve 1.6*10^-8/7.4*10^-14

$$\frac { 1.6 \times 10 ^ { - 8 } } { 7.4 \times 10 ^ { - 14 } }$$

Evaluate

$$\frac{8000000}{37}\approx 216216.216216216$$

Solution Steps

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

$$\frac{1.6\times 10^{6}}{7.4}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1.6\times 1000000}{7.4}$$

Multiply 1.6 and 1000000 to get 1600000.

$$\frac{1600000}{7.4}$$

Expand \frac{1600000}{7.4} by multiplying both numerator and the denominator by 10.

$$\frac{16000000}{74}$$

Reduce the fraction \frac{16000000}{74} to lowest terms by extracting and canceling out 2.

$$\frac{8000000}{37}$$

Factor

$$\frac{2 ^ {9} \cdot 5 ^ {6}}{37} = 216216\frac{8}{37} = 216216.2162162162$$