Solve 0.0314/6.02*10^23

$$\frac { 0.0314 } { 6.02 \times 10 ^ { 23 } }$$

Evaluate

$$\frac{157}{3010000000000000000000000000}\approx 5.215946844 \cdot 10^{-26}$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{0.0314}{6.02\times 100000000000000000000000}$$

Multiply 6.02 and 100000000000000000000000 to get 602000000000000000000000.

$$\frac{0.0314}{602000000000000000000000}$$

Expand \frac{0.0314}{602000000000000000000000} by multiplying both numerator and the denominator by 10000.

$$\frac{314}{6020000000000000000000000000}$$

Reduce the fraction \frac{314}{6020000000000000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{157}{3010000000000000000000000000}$$

Factor

$$\frac{157}{7 \cdot 43 \cdot 2 ^ {25} \cdot 5 ^ {25}} = 5.21594684385382 \times 10^{-26}$$