Solve 4pi10^-72/2pi50

$$\frac{ 4 \pi { 10 }^{ -7 } 2 }{ 2 \pi 50 }$$

Evaluate

$$\frac{1}{125000000}=8 \cdot 10^{-9}$$

Solution Steps

Cancel out 2\times 2\pi in both numerator and denominator.

$$\frac{2\times 10^{-7}}{25}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{2\times \frac{1}{10000000}}{25}$$

Multiply 2 and \frac{1}{10000000} to get \frac{1}{5000000}.

$$\frac{\frac{1}{5000000}}{25}$$

Express \frac{\frac{1}{5000000}}{25} as a single fraction.

$$\frac{1}{5000000\times 25}$$

Multiply 5000000 and 25 to get 125000000.

$$\frac{1}{125000000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {9}} = 8 \times 10^{-9}$$