Solve 0.0004*10^-19/9.1*10^-31

$$\frac{ 0.0004 \times { 10 }^{ -19 } }{ 9.1 \cdot { 10 }^{ -31 } }$$

Evaluate

$$\frac{4000000000}{91}\approx 43956043.956043956$$

Solution Steps

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

$$\frac{0.0004\times 10^{12}}{9.1}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{0.0004\times 1000000000000}{9.1}$$

Multiply 0.0004 and 1000000000000 to get 400000000.

$$\frac{400000000}{9.1}$$

Expand \frac{400000000}{9.1} by multiplying both numerator and the denominator by 10.

$$\frac{4000000000}{91}$$

Factor

$$\frac{2 ^ {11} \cdot 5 ^ {9}}{7 \cdot 13} = 43956043\frac{87}{91} = 43956043.95604396$$