Solve pi(13*10^-3-5*10^-17)^2/2

$$\frac { \pi ( 13 \times 10 ^ { - 3 } - 5 \times 10 ^ { - 17 } ) ^ { 2 } } { 2 }$$

Evaluate

$$\frac{67599999999999480000000000001\pi }{800000000000000000000000000000000}\approx 0.000265465$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\pi \left(13\times \frac{1}{1000}-5\times 10^{-17}\right)^{2}}{2}$$

Multiply 13 and \frac{1}{1000} to get \frac{13}{1000}.

$$\frac{\pi \left(\frac{13}{1000}-5\times 10^{-17}\right)^{2}}{2}$$

Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.

$$\frac{\pi \left(\frac{13}{1000}-5\times \frac{1}{100000000000000000}\right)^{2}}{2}$$

Multiply 5 and \frac{1}{100000000000000000} to get \frac{1}{20000000000000000}.

$$\frac{\pi \left(\frac{13}{1000}-\frac{1}{20000000000000000}\right)^{2}}{2}$$

Subtract \frac{1}{20000000000000000} from \frac{13}{1000} to get \frac{259999999999999}{20000000000000000}.

$$\frac{\pi \times \left(\frac{259999999999999}{20000000000000000}\right)^{2}}{2}$$

Calculate \frac{259999999999999}{20000000000000000} to the power of 2 and get \frac{67599999999999480000000000001}{400000000000000000000000000000000}.

$$\frac{\pi \times \frac{67599999999999480000000000001}{400000000000000000000000000000000}}{2}$$

Divide \pi \times \frac{67599999999999480000000000001}{400000000000000000000000000000000} by 2 to get \pi \times \frac{67599999999999480000000000001}{800000000000000000000000000000000}.

$$\pi \times \frac{67599999999999480000000000001}{800000000000000000000000000000000}$$

Expand

$$\frac{67599999999999480000000000001 \pi}{800000000000000000000000000000000} = 0.00026546457922833547$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\pi \left(13\times \frac{1}{1000}-5\times 10^{-17}\right)^{2}}{2}$$

Multiply 13 and \frac{1}{1000} to get \frac{13}{1000}.

$$\frac{\pi \left(\frac{13}{1000}-5\times 10^{-17}\right)^{2}}{2}$$

Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.

$$\frac{\pi \left(\frac{13}{1000}-5\times \frac{1}{100000000000000000}\right)^{2}}{2}$$

Multiply 5 and \frac{1}{100000000000000000} to get \frac{1}{20000000000000000}.

$$\frac{\pi \left(\frac{13}{1000}-\frac{1}{20000000000000000}\right)^{2}}{2}$$

Subtract \frac{1}{20000000000000000} from \frac{13}{1000} to get \frac{259999999999999}{20000000000000000}.

$$\frac{\pi \times \left(\frac{259999999999999}{20000000000000000}\right)^{2}}{2}$$

Calculate \frac{259999999999999}{20000000000000000} to the power of 2 and get \frac{67599999999999480000000000001}{400000000000000000000000000000000}.

$$\frac{\pi \times \frac{67599999999999480000000000001}{400000000000000000000000000000000}}{2}$$

Divide \pi \times \frac{67599999999999480000000000001}{400000000000000000000000000000000} by 2 to get \pi \times \frac{67599999999999480000000000001}{800000000000000000000000000000000}.

$$\pi \times \frac{67599999999999480000000000001}{800000000000000000000000000000000}$$