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

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

Avaliar

$$\frac{67599999999999480000000000001\pi }{800000000000000000000000000000000}\approx 0,000265465$$

Passos Para a Resolução

Calcule 10 elevado a -3 e obtenha \frac{1}{1000}.

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

Multiplique 13 e \frac{1}{1000} para obter \frac{13}{1000}.

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

Calcule 10 elevado a -17 e obtenha \frac{1}{100000000000000000}.

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

Multiplique 5 e \frac{1}{100000000000000000} para obter \frac{1}{20000000000000000}.

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

Subtraia \frac{1}{20000000000000000} de \frac{13}{1000} para obter \frac{259999999999999}{20000000000000000}.

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

Calcule \frac{259999999999999}{20000000000000000} elevado a 2 e obtenha \frac{67599999999999480000000000001}{400000000000000000000000000000000}.

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

Dividir \pi \times \frac{67599999999999480000000000001}{400000000000000000000000000000000} por 2 para obter \pi \times \frac{67599999999999480000000000001}{800000000000000000000000000000000}.

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

Expandir

$$\frac{67599999999999480000000000001 \pi}{800000000000000000000000000000000} = 0,00026546457922833547$$

Passos Para a Resolução

Calcule 10 elevado a -3 e obtenha \frac{1}{1000}.

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

Multiplique 13 e \frac{1}{1000} para obter \frac{13}{1000}.

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

Calcule 10 elevado a -17 e obtenha \frac{1}{100000000000000000}.

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

Multiplique 5 e \frac{1}{100000000000000000} para obter \frac{1}{20000000000000000}.

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

Subtraia \frac{1}{20000000000000000} de \frac{13}{1000} para obter \frac{259999999999999}{20000000000000000}.

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

Calcule \frac{259999999999999}{20000000000000000} elevado a 2 e obtenha \frac{67599999999999480000000000001}{400000000000000000000000000000000}.

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

Dividir \pi \times \frac{67599999999999480000000000001}{400000000000000000000000000000000} por 2 para obter \pi \times \frac{67599999999999480000000000001}{800000000000000000000000000000000}.

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