Solve (1/2*3.14*5*10^6)^2*1/50*10^-9

$$( \frac { 1 } { 2 \times 3.14 \times 5 \times 10 ^ { 6 } } ) ^ { 2 } \times \frac { 1 } { 50 \times 10 ^ { - 9 } }$$

Evaluate

$$\frac{1}{49298000}\approx 0.00000002$$

Solution Steps

Multiply 2 and 3.14 to get 6.28.

$$\left(\frac{1}{6.28\times 5\times 10^{6}}\right)^{2}\times \frac{1}{50\times 10^{-9}}$$

Multiply 6.28 and 5 to get 31.4.

$$\left(\frac{1}{31.4\times 10^{6}}\right)^{2}\times \frac{1}{50\times 10^{-9}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\left(\frac{1}{31.4\times 1000000}\right)^{2}\times \frac{1}{50\times 10^{-9}}$$

Multiply 31.4 and 1000000 to get 31400000.

$$\left(\frac{1}{31400000}\right)^{2}\times \frac{1}{50\times 10^{-9}}$$

Calculate \frac{1}{31400000} to the power of 2 and get \frac{1}{985960000000000}.

$$\frac{1}{985960000000000}\times \frac{1}{50\times 10^{-9}}$$

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

$$\frac{1}{985960000000000}\times \frac{1}{50\times \frac{1}{1000000000}}$$

Multiply 50 and \frac{1}{1000000000} to get \frac{1}{20000000}.

$$\frac{1}{985960000000000}\times \frac{1}{\frac{1}{20000000}}$$

Divide 1 by \frac{1}{20000000} by multiplying 1 by the reciprocal of \frac{1}{20000000}.

$$\frac{1}{985960000000000}\times 1\times 20000000$$

Multiply 1 and 20000000 to get 20000000.

$$\frac{1}{985960000000000}\times 20000000$$

Multiply \frac{1}{985960000000000} and 20000000 to get \frac{1}{49298000}.

$$\frac{1}{49298000}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 5 ^ {3} \cdot 157 ^ {2}} = 2.028479857195018 \times 10^{-8}$$