Solve 1.9*1.602*10^-19/6.626*10^-34

$$\frac { 1.9 \times 1.602 \times 10 ^ { - 19 } } { 6.626 \times 10 ^ { - 34 } }$$

Evaluate

$$\frac{1521900000000000000}{3313}\approx 4.593721702 \cdot 10^{14}$$

Solution Steps

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

$$\frac{1.602\times 1.9\times 10^{15}}{6.626}$$

Multiply 1.602 and 1.9 to get 3.0438.

$$\frac{3.0438\times 10^{15}}{6.626}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{3.0438\times 1000000000000000}{6.626}$$

Multiply 3.0438 and 1000000000000000 to get 3043800000000000.

$$\frac{3043800000000000}{6.626}$$

Expand \frac{3043800000000000}{6.626} by multiplying both numerator and the denominator by 1000.

$$\frac{3043800000000000000}{6626}$$

Reduce the fraction \frac{3043800000000000000}{6626} to lowest terms by extracting and canceling out 2.

$$\frac{1521900000000000000}{3313}$$

Factor

$$\frac{19 \cdot 89 \cdot 2 ^ {14} \cdot 3 ^ {2} \cdot 5 ^ {14}}{3313} = 459372170238454\frac{1898}{3313} = 459372170238454.56$$