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

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

Aromātai

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

Ngā Upane Otinga

Tāpirihia te 2 ki te 5, ka 7.

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

Whakareatia te 7 ki te \frac{25}{8}, ka \frac{175}{8}.

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

Whakawehe \frac{175}{8} ki te \frac{5}{2} mā te whakarea \frac{175}{8} ki te tau huripoki o \frac{5}{2}.

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

Whakareatia te \frac{175}{8} ki te \frac{2}{5}, ka \frac{35}{4}.

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

Tātaihia te \frac{35}{4} mā te pū o 2, kia riro ko \frac{1225}{16}.

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

Whakawehe \frac{21}{4} ki te \frac{1225}{16} mā te whakarea \frac{21}{4} ki te tau huripoki o \frac{1225}{16}.

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

Whakareatia te \frac{21}{4} ki te \frac{16}{1225}, ka \frac{12}{175}.

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

Tangohia te \frac{12}{175} i te \frac{7}{2}, ka \frac{1201}{350}.

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

Tauwehe

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