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

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

Evalwa

$$\frac{1201}{350}\approx 3.431428571$$

Passi tas-Soluzzjonijiet

Żid 2 u 5 biex tikseb 7.

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

Immultiplika 7 u \frac{25}{8} biex tikseb \frac{175}{8}.

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

Iddividi \frac{175}{8} b'\frac{5}{2} billi timmultiplika \frac{175}{8} bir-reċiproku ta' \frac{5}{2}.

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

Immultiplika \frac{175}{8} u \frac{2}{5} biex tikseb \frac{35}{4}.

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

Ikkalkula \frac{35}{4} bil-power ta' 2 u tikseb \frac{1225}{16}.

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

Iddividi \frac{21}{4} b'\frac{1225}{16} billi timmultiplika \frac{21}{4} bir-reċiproku ta' \frac{1225}{16}.

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

Immultiplika \frac{21}{4} u \frac{16}{1225} biex tikseb \frac{12}{175}.

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

Naqqas \frac{12}{175} minn \frac{7}{2} biex tikseb \frac{1201}{350}.

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

Fattur

$$\frac{1201}{2 \cdot 5 ^ {2} \cdot 7} = 3\frac{151}{350} = 3.4314285714285715$$