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

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

Ovrednoti

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

Koraki rešitve

Seštejte 2 in 5, da dobite 7.

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

Pomnožite 7 in \frac{25}{8}, da dobite \frac{175}{8}.

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

Delite \frac{175}{8} s/z \frac{5}{2} tako, da pomnožite \frac{175}{8} z obratno vrednostjo \frac{5}{2}.

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

Pomnožite \frac{175}{8} in \frac{2}{5}, da dobite \frac{35}{4}.

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

Izračunajte potenco \frac{35}{4} števila 2, da dobite \frac{1225}{16}.

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

Delite \frac{21}{4} s/z \frac{1225}{16} tako, da pomnožite \frac{21}{4} z obratno vrednostjo \frac{1225}{16}.

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

Pomnožite \frac{21}{4} in \frac{16}{1225}, da dobite \frac{12}{175}.

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

Odštejte \frac{12}{175} od \frac{7}{2}, da dobite \frac{1201}{350}.

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

Faktoriziraj

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