Solve 235*10^-3/6,02*10^-23

$$\frac { 235 \cdot 10 ^ { - 3 } } { 6,02 \cdot 10 ^ { - 23 } }$$

Evaluate

$$\frac{1175000000000000000000000}{301}\approx 3,903654485 \cdot 10^{21}$$

Solution Steps

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

$$\frac{235\times 10^{20}}{6,02}$$

Calculate 10 to the power of 20 and get 100000000000000000000.

$$\frac{235\times 100000000000000000000}{6,02}$$

Multiply 235 and 100000000000000000000 to get 23500000000000000000000.

$$\frac{23500000000000000000000}{6,02}$$

Expand \frac{23500000000000000000000}{6,02} by multiplying both numerator and the denominator by 100.

$$\frac{2350000000000000000000000}{602}$$

Reduce the fraction \frac{2350000000000000000000000}{602} to lowest terms by extracting and canceling out 2.

$$\frac{1175000000000000000000000}{301}$$

Factor

$$\frac{47 \cdot 2 ^ {21} \cdot 5 ^ {23}}{7 \cdot 43} = 3.903654485049833 \times 10^{21}\frac{81}{301} = 3.903654485049833 \times 10^{21}$$