Solve 1,6*10^-19/9,1*10^-31

$$\frac { 1,6 \cdot 10 ^ { - 19 } } { 9,1 \cdot 10 ^ { - 31 } }$$

Evaluate

$$\frac{16000000000000}{91}\approx 175824175824,175824176$$

Solution Steps

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

$$\frac{1,6\times 10^{12}}{9,1}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{1,6\times 1000000000000}{9,1}$$

Multiply 1,6 and 1000000000000 to get 1600000000000.

$$\frac{1600000000000}{9,1}$$

Expand \frac{1600000000000}{9,1} by multiplying both numerator and the denominator by 10.

$$\frac{16000000000000}{91}$$

Factor

$$\frac{2 ^ {16} \cdot 5 ^ {12}}{7 \cdot 13} = 175824175824\frac{16}{91} = 175824175824.1758$$