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

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

Baholash

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

Yechim qadamlari

7 olish uchun 2 va 5'ni qo'shing.

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

\frac{175}{8} hosil qilish uchun 7 va \frac{25}{8} ni ko'paytirish.

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

\frac{175}{8} ni \frac{5}{2} ga bo'lish \frac{175}{8} ga k'paytirish \frac{5}{2} ga qaytarish.

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

\frac{35}{4} hosil qilish uchun \frac{175}{8} va \frac{2}{5} ni ko'paytirish.

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

2 daraja ko‘rsatkichini \frac{35}{4} ga hisoblang va \frac{1225}{16} ni qiymatni oling.

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

\frac{21}{4} ni \frac{1225}{16} ga bo'lish \frac{21}{4} ga k'paytirish \frac{1225}{16} ga qaytarish.

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

\frac{12}{175} hosil qilish uchun \frac{21}{4} va \frac{16}{1225} ni ko'paytirish.

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

\frac{1201}{350} olish uchun \frac{7}{2} dan \frac{12}{175} ni ayirish.

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

Omil

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