{[(1-3/8+4/5-11/20)*(3/14+frac{5}{7}-1+frac{3}{2})]^2:(-frac{2}{2}+frac{2}{4})^2}^2:(frac{5}{6}+frac{1}{2}-frac{1}{12})^2 eching

$$\{ [ ( 1 - \frac { 3 } { 8 } + \frac { 4 } { 5 } - \frac { 11 } { 20 } ) \cdot ( \frac { 3 } { 14 } + \frac { 5 } { 7 } - 1 + \frac { 3 } { 2 } ) ] ^ { 2 } : ( - \frac { 2 } { 2 } + \frac { 2 } { 4 } ) ^ { 2 } \} ^ { 2 } : ( \frac { 5 } { 6 } + \frac { 1 } { 2 } - \frac { 1 } { 12 } ) ^ { 2 }$$

Baholash

$$25$$

Yechim qadamlari

1 ni olish uchun 2 ni 2 ga bo‘ling.

$$\frac{\left(\frac{\left(\left(1-\frac{3}{8}+\frac{4}{5}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{5}{8} olish uchun 1 dan \frac{3}{8} ni ayirish.

$$\frac{\left(\frac{\left(\left(\frac{5}{8}+\frac{4}{5}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{57}{40} olish uchun \frac{5}{8} va \frac{4}{5}'ni qo'shing.

$$\frac{\left(\frac{\left(\left(\frac{57}{40}-\frac{11}{20}\right)\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{7}{8} olish uchun \frac{57}{40} dan \frac{11}{20} ni ayirish.

$$\frac{\left(\frac{\left(\frac{7}{8}\left(\frac{3}{14}+\frac{5}{7}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{13}{14} olish uchun \frac{3}{14} va \frac{5}{7}'ni qo'shing.

$$\frac{\left(\frac{\left(\frac{7}{8}\left(\frac{13}{14}-1+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

-\frac{1}{14} olish uchun \frac{13}{14} dan 1 ni ayirish.

$$\frac{\left(\frac{\left(\frac{7}{8}\left(-\frac{1}{14}+\frac{3}{2}\right)\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{10}{7} olish uchun -\frac{1}{14} va \frac{3}{2}'ni qo'shing.

$$\frac{\left(\frac{\left(\frac{7}{8}\times \frac{10}{7}\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{5}{4} hosil qilish uchun \frac{7}{8} va \frac{10}{7} ni ko'paytirish.

$$\frac{\left(\frac{\left(\frac{5}{4}\right)^{2}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{5}{4} ga hisoblang va \frac{25}{16} ni qiymatni oling.

$$\frac{\left(\frac{\frac{25}{16}}{\left(-1+\frac{2}{4}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(\frac{\frac{25}{16}}{\left(-1+\frac{1}{2}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

-\frac{1}{2} olish uchun -1 va \frac{1}{2}'ni qo'shing.

$$\frac{\left(\frac{\frac{25}{16}}{\left(-\frac{1}{2}\right)^{2}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\left(\frac{\frac{25}{16}}{\frac{1}{4}}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{25}{16} ni \frac{1}{4} ga bo'lish \frac{25}{16} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{\left(\frac{25}{16}\times 4\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{25}{4} hosil qilish uchun \frac{25}{16} va 4 ni ko'paytirish.

$$\frac{\left(\frac{25}{4}\right)^{2}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{25}{4} ga hisoblang va \frac{625}{16} ni qiymatni oling.

$$\frac{\frac{625}{16}}{\left(\frac{5}{6}+\frac{1}{2}-\frac{1}{12}\right)^{2}}$$

\frac{4}{3} olish uchun \frac{5}{6} va \frac{1}{2}'ni qo'shing.

$$\frac{\frac{625}{16}}{\left(\frac{4}{3}-\frac{1}{12}\right)^{2}}$$

\frac{5}{4} olish uchun \frac{4}{3} dan \frac{1}{12} ni ayirish.

$$\frac{\frac{625}{16}}{\left(\frac{5}{4}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{5}{4} ga hisoblang va \frac{25}{16} ni qiymatni oling.

$$\frac{\frac{625}{16}}{\frac{25}{16}}$$

\frac{625}{16} ni \frac{25}{16} ga bo'lish \frac{625}{16} ga k'paytirish \frac{25}{16} ga qaytarish.

$$\frac{625}{16}\times \frac{16}{25}$$

25 hosil qilish uchun \frac{625}{16} va \frac{16}{25} ni ko'paytirish.

$$25$$

Omil

$$5^{2}$$