Solve 19.89*10^-26/8.86*10^-19=

$$\frac{ 19.89 \times { 10 }^{ -26 } }{ 8.86 \times { 10 }^{ -19 } } =$$

Evaluate

$$\frac{1989}{8860000000}\approx 0.000000224$$

Solution Steps

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

$$\frac{19.89}{8.86\times 10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{19.89}{8.86\times 10000000}$$

Multiply 8.86 and 10000000 to get 88600000.

$$\frac{19.89}{88600000}$$

Expand \frac{19.89}{88600000} by multiplying both numerator and the denominator by 100.

$$\frac{1989}{8860000000}$$

Factor

$$\frac{13 \cdot 17 \cdot 3 ^ {2}}{443 \cdot 2 ^ {8} \cdot 5 ^ {7}} = 2.244920993227991 \times 10^{-7}$$