Solve (4pi*10^-7)(2)/(2pi)(10)

$$\frac{ (4 \pi \times { 10 }^{ -7 } )(2) }{ (2 \pi )(10) }$$

Evaluate

$$\frac{1}{25000000}=0.00000004$$

Solution Steps

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

$$\frac{2\times 10^{-7}}{5}$$

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

$$\frac{2\times \frac{1}{10000000}}{5}$$

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

$$\frac{\frac{1}{5000000}}{5}$$

Express \frac{\frac{1}{5000000}}{5} as a single fraction.

$$\frac{1}{5000000\times 5}$$

Multiply 5000000 and 5 to get 25000000.

$$\frac{1}{25000000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {8}} = 4 \times 10^{-8}$$