Solve 2*10^-9/frac{10^-9{36pi}*2}

$$\frac { 2 \times 10 ^ { - 9 } } { \frac { 10 ^ { - 9 } } { 36 \pi } \times 2 }$$

Evaluate

$$36\pi \approx 113.097335529$$

Solution Steps

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{2\times \frac{1}{1000000000}}{\frac{10^{-9}}{36\pi }\times 2}$$

Multiply 2 and \frac{1}{1000000000} to get \frac{1}{500000000}.

$$\frac{\frac{1}{500000000}}{\frac{10^{-9}}{36\pi }\times 2}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{\frac{1}{500000000}}{\frac{\frac{1}{1000000000}}{36\pi }\times 2}$$

Express \frac{\frac{1}{1000000000}}{36\pi } as a single fraction.

$$\frac{\frac{1}{500000000}}{\frac{1}{1000000000\times 36\pi }\times 2}$$

Multiply 1000000000 and 36 to get 36000000000.

$$\frac{\frac{1}{500000000}}{\frac{1}{36000000000\pi }\times 2}$$

Express \frac{1}{36000000000\pi }\times 2 as a single fraction.

$$\frac{\frac{1}{500000000}}{\frac{2}{36000000000\pi }}$$

Divide \frac{1}{500000000} by \frac{2}{36000000000\pi } by multiplying \frac{1}{500000000} by the reciprocal of \frac{2}{36000000000\pi }.

$$\frac{36000000000\pi }{500000000\times 2}$$

Cancel out 2\times 500000000 in both numerator and denominator.

$$36\pi$$