Solve 2*10^-11/left(7*510^-2right)^2pi

$$\frac{ 2 \cdot { 10 }^{ -11 } }{ { \left(7 \cdot 5 { 10 }^{ -2 } \right) }^{ 2 } \pi }$$

Evaluate

$$\frac{1}{6125000000\pi }\approx 5.196896101 \cdot 10^{-11}$$

Solution Steps

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{2\times \frac{1}{100000000000}}{\left(7\times 5\times 10^{-2}\right)^{2}\pi }$$

Multiply 2 and \frac{1}{100000000000} to get \frac{1}{50000000000}.

$$\frac{\frac{1}{50000000000}}{\left(7\times 5\times 10^{-2}\right)^{2}\pi }$$

Multiply 7 and 5 to get 35.

$$\frac{\frac{1}{50000000000}}{\left(35\times 10^{-2}\right)^{2}\pi }$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\frac{1}{50000000000}}{\left(35\times \frac{1}{100}\right)^{2}\pi }$$

Multiply 35 and \frac{1}{100} to get \frac{7}{20}.

$$\frac{\frac{1}{50000000000}}{\left(\frac{7}{20}\right)^{2}\pi }$$

Calculate \frac{7}{20} to the power of 2 and get \frac{49}{400}.

$$\frac{\frac{1}{50000000000}}{\frac{49}{400}\pi }$$

Express \frac{\frac{1}{50000000000}}{\frac{49}{400}\pi } as a single fraction.

$$\frac{1}{50000000000\times \frac{49}{400}\pi }$$

Multiply 50000000000 and \frac{49}{400} to get 6125000000.

$$\frac{1}{6125000000\pi }$$

Expand

$$\frac{1}{6125000000 \pi} = 5.196896100959848 \times 10^{-11}$$

Solution Steps

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{2\times \frac{1}{100000000000}}{\left(7\times 5\times 10^{-2}\right)^{2}\pi }$$

Multiply 2 and \frac{1}{100000000000} to get \frac{1}{50000000000}.

$$\frac{\frac{1}{50000000000}}{\left(7\times 5\times 10^{-2}\right)^{2}\pi }$$

Multiply 7 and 5 to get 35.

$$\frac{\frac{1}{50000000000}}{\left(35\times 10^{-2}\right)^{2}\pi }$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\frac{1}{50000000000}}{\left(35\times \frac{1}{100}\right)^{2}\pi }$$

Multiply 35 and \frac{1}{100} to get \frac{7}{20}.

$$\frac{\frac{1}{50000000000}}{\left(\frac{7}{20}\right)^{2}\pi }$$

Calculate \frac{7}{20} to the power of 2 and get \frac{49}{400}.

$$\frac{\frac{1}{50000000000}}{\frac{49}{400}\pi }$$

Express \frac{\frac{1}{50000000000}}{\frac{49}{400}\pi } as a single fraction.

$$\frac{1}{50000000000\times \frac{49}{400}\pi }$$

Multiply 50000000000 and \frac{49}{400} to get 6125000000.

$$\frac{1}{6125000000\pi }$$