Solve =1.92*10^-19/9.1*10^-3

$$= \frac { 1.92 \times 10 ^ { - 19 } } { 9.1 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{3}{142187500000000000}\approx 2.10989011 \cdot 10^{-17}$$

Solution Steps

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

$$\frac{1.92}{9.1\times 10^{16}}$$

Calculate 10 to the power of 16 and get 10000000000000000.

$$\frac{1.92}{9.1\times 10000000000000000}$$

Multiply 9.1 and 10000000000000000 to get 91000000000000000.

$$\frac{1.92}{91000000000000000}$$

Expand \frac{1.92}{91000000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{192}{9100000000000000000}$$

Reduce the fraction \frac{192}{9100000000000000000} to lowest terms by extracting and canceling out 64.

$$\frac{3}{142187500000000000}$$

Factor

$$\frac{3}{7 \cdot 13 \cdot 2 ^ {11} \cdot 5 ^ {17}} = 2.10989010989011 \times 10^{-17}$$