Solve 23510^-3/6.0210^23

$$\frac{ 235 { 10 }^{ -3 } }{ 6.02 { 10 }^{ 23 } }$$

Evaluate

$$\frac{47}{120400000000000000000000000}\approx 3.903654485 \cdot 10^{-25}$$

Solution Steps

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

$$\frac{235}{6.02\times 10^{26}}$$

Calculate 10 to the power of 26 and get 100000000000000000000000000.

$$\frac{235}{6.02\times 100000000000000000000000000}$$

Multiply 6.02 and 100000000000000000000000000 to get 602000000000000000000000000.

$$\frac{235}{602000000000000000000000000}$$

Reduce the fraction \frac{235}{602000000000000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{47}{120400000000000000000000000}$$

Factor

$$\frac{47}{7 \cdot 43 \cdot 2 ^ {25} \cdot 5 ^ {23}} = 3.9036544850498345 \times 10^{-25}$$