Solve 0.5*1.610^-194/1.6710^-27

$$\frac{ 0.5 \cdot 1.6 { 10 }^{ -19 } 4 }{ 1.67 { 10 }^{ -27 } }$$

Evaluate

$$\frac{32000000000}{167}\approx 191616766.467065868$$

Solution Steps

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

$$\frac{0.5\times 1.6\times 4\times 10^{8}}{1.67}$$

Multiply 0.5 and 1.6 to get 0.8.

$$\frac{0.8\times 4\times 10^{8}}{1.67}$$

Multiply 0.8 and 4 to get 3.2.

$$\frac{3.2\times 10^{8}}{1.67}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{3.2\times 100000000}{1.67}$$

Multiply 3.2 and 100000000 to get 320000000.

$$\frac{320000000}{1.67}$$

Expand \frac{320000000}{1.67} by multiplying both numerator and the denominator by 100.

$$\frac{32000000000}{167}$$

Factor

$$\frac{2 ^ {14} \cdot 5 ^ {9}}{167} = 191616766\frac{78}{167} = 191616766.46706587$$