Resolver frac{85*10-sqrt{25}*10}{20*10^6*(47*10^-4-7*10^-5)}

$$\frac { 85 \cdot 10 - \sqrt { 25 } \cdot 10 } { 20 \cdot 10 ^ { 6 } \cdot ( 47 \cdot 10 ^ { - 4 } - 7 \cdot 10 ^ { - 5 } ) }$$

Avaliar

$$\frac{4}{463}\approx 0,008639309$$

Passos Para a Resolução

Multiplique 85 e 10 para obter 850.

$$\frac{850-10\sqrt{25}}{20\times 10^{6}\left(47\times 10^{-4}-7\times 10^{-5}\right)}$$

Calcule a raiz quadrada de 25 e obtenha 5.

$$\frac{850-10\times 5}{20\times 10^{6}\left(47\times 10^{-4}-7\times 10^{-5}\right)}$$

Multiplique -10 e 5 para obter -50.

$$\frac{850-50}{20\times 10^{6}\left(47\times 10^{-4}-7\times 10^{-5}\right)}$$

Subtraia 50 de 850 para obter 800.

$$\frac{800}{20\times 10^{6}\left(47\times 10^{-4}-7\times 10^{-5}\right)}$$

Calcule 10 elevado a 6 e obtenha 1000000.

$$\frac{800}{20\times 1000000\left(47\times 10^{-4}-7\times 10^{-5}\right)}$$

Multiplique 20 e 1000000 para obter 20000000.

$$\frac{800}{20000000\left(47\times 10^{-4}-7\times 10^{-5}\right)}$$

Calcule 10 elevado a -4 e obtenha \frac{1}{10000}.

$$\frac{800}{20000000\left(47\times \frac{1}{10000}-7\times 10^{-5}\right)}$$

Multiplique 47 e \frac{1}{10000} para obter \frac{47}{10000}.

$$\frac{800}{20000000\left(\frac{47}{10000}-7\times 10^{-5}\right)}$$

Calcule 10 elevado a -5 e obtenha \frac{1}{100000}.

$$\frac{800}{20000000\left(\frac{47}{10000}-7\times \frac{1}{100000}\right)}$$

Multiplique 7 e \frac{1}{100000} para obter \frac{7}{100000}.

$$\frac{800}{20000000\left(\frac{47}{10000}-\frac{7}{100000}\right)}$$

Subtraia \frac{7}{100000} de \frac{47}{10000} para obter \frac{463}{100000}.

$$\frac{800}{20000000\times \frac{463}{100000}}$$

Multiplique 20000000 e \frac{463}{100000} para obter 92600.

$$\frac{800}{92600}$$

Reduza a fração \frac{800}{92600} para os termos mais baixos ao retirar e anular 200.

$$\frac{4}{463}$$

Fatorizar

$$\frac{2 ^ {2}}{463} = 0,008639308855291577$$