Solve 5.3*10^-3/7.4*10^-11

$$\frac { 5.3 \times 10 ^ { - 3 } } { 7.4 \times 10 ^ { - 11 } }$$

Evaluate

$$\frac{2650000000}{37}\approx 71621621.621621622$$

Solution Steps

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

$$\frac{5.3\times 10^{8}}{7.4}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{5.3\times 100000000}{7.4}$$

Multiply 5.3 and 100000000 to get 530000000.

$$\frac{530000000}{7.4}$$

Expand \frac{530000000}{7.4} by multiplying both numerator and the denominator by 10.

$$\frac{5300000000}{74}$$

Reduce the fraction \frac{5300000000}{74} to lowest terms by extracting and canceling out 2.

$$\frac{2650000000}{37}$$

Factor

$$\frac{53 \cdot 2 ^ {7} \cdot 5 ^ {8}}{37} = 71621621\frac{23}{37} = 71621621.62162162$$