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

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

Izrēķināt

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

Atrisinājuma darbības

Saskaitiet 2 un 5, lai iegūtu 7.

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

Reiziniet 7 un \frac{25}{8}, lai iegūtu \frac{175}{8}.

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

Daliet \frac{175}{8} ar \frac{5}{2}, reizinot \frac{175}{8} ar apgriezto daļskaitli \frac{5}{2} .

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

Reiziniet \frac{175}{8} un \frac{2}{5}, lai iegūtu \frac{35}{4}.

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

Aprēķiniet \frac{35}{4} pakāpē 2 un iegūstiet \frac{1225}{16}.

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

Daliet \frac{21}{4} ar \frac{1225}{16}, reizinot \frac{21}{4} ar apgriezto daļskaitli \frac{1225}{16} .

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

Reiziniet \frac{21}{4} un \frac{16}{1225}, lai iegūtu \frac{12}{175}.

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

Atņemiet \frac{12}{175} no \frac{7}{2}, lai iegūtu \frac{1201}{350}.

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

Sadalīt reizinātājos

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