Resolver 7div2-[21div4div((2+5)*(25div8)div(5div2))^2]

$$7 \div 2 - [ 21 \div 4 \div ( ( 2 + 5 ) \times ( 25 \div 8 ) \div ( 5 \div 2 ) ) ^ { 2 } ]$$

Avaliar

$$\frac{1201}{350}\approx 3,431428571$$

Passos Para a Resolução

Some 2 e 5 para obter 7.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{7\times \frac{25}{8}}{\frac{5}{2}}\right)^{2}}$$

Multiplique 7 e \frac{25}{8} para obter \frac{175}{8}.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{\frac{175}{8}}{\frac{5}{2}}\right)^{2}}$$

Divida \frac{175}{8} por \frac{5}{2} ao multiplicar \frac{175}{8} pelo recíproco de \frac{5}{2}.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{175}{8}\times \frac{2}{5}\right)^{2}}$$

Multiplique \frac{175}{8} e \frac{2}{5} para obter \frac{35}{4}.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\left(\frac{35}{4}\right)^{2}}$$

Calcule \frac{35}{4} elevado a 2 e obtenha \frac{1225}{16}.

$$\frac{7}{2}-\frac{\frac{21}{4}}{\frac{1225}{16}}$$

Divida \frac{21}{4} por \frac{1225}{16} ao multiplicar \frac{21}{4} pelo recíproco de \frac{1225}{16}.

$$\frac{7}{2}-\frac{21}{4}\times \frac{16}{1225}$$

Multiplique \frac{21}{4} e \frac{16}{1225} para obter \frac{12}{175}.

$$\frac{7}{2}-\frac{12}{175}$$

Subtraia \frac{12}{175} de \frac{7}{2} para obter \frac{1201}{350}.

$$\frac{1201}{350}$$

Fatorizar

$$\frac{1201}{2 \cdot 5 ^ {2} \cdot 7} = 3\frac{151}{350} = 3,4314285714285715$$