Solve 3.4*1.6*10^-19/6.3*10^-34

$$\frac { 3.4 \times 1.6 \times 10 ^ { - 19 } } { 6.3 \times 10 ^ { - 34 } }$$

Evaluate

$$\frac{54400000000000000}{63}\approx 8.634920635 \cdot 10^{14}$$

Solution Steps

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

$$\frac{1.6\times 3.4\times 10^{15}}{6.3}$$

Multiply 1.6 and 3.4 to get 5.44.

$$\frac{5.44\times 10^{15}}{6.3}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{5.44\times 1000000000000000}{6.3}$$

Multiply 5.44 and 1000000000000000 to get 5440000000000000.

$$\frac{5440000000000000}{6.3}$$

Expand \frac{5440000000000000}{6.3} by multiplying both numerator and the denominator by 10.

$$\frac{54400000000000000}{63}$$

Factor

$$\frac{17 \cdot 2 ^ {19} \cdot 5 ^ {14}}{7 \cdot 3 ^ {2}} = 863492063492063\frac{31}{63} = 863492063492063.5$$