{[(2-frac{6^{2}}{5^{2}})*15-2^3]^2*[(2+3/2+2/3:2/15):1/10-10]-3^2}^2:frac{9}{2} eching

$$\{ [ ( 2 - \frac { 6 ^ { 2 } } { 5 ^ { 2 } } ) \cdot 15 - 2 ^ { 3 } ] ^ { 2 } \cdot [ ( 2 + \frac { 3 } { 2 } + \frac { 2 } { 3 } : \frac { 2 } { 15 } ) : \frac { 1 } { 10 } - 10 ] - 3 ^ { 2 } \} ^ { 2 } : \frac { 9 } { 2 }$$

Baholash

$$2$$

Yechim qadamlari

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{\left(\left(\left(2-\frac{36}{5^{2}}\right)\times 15-2^{3}\right)^{2}\left(\frac{2+\frac{3}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{\left(\left(\left(2-\frac{36}{25}\right)\times 15-2^{3}\right)^{2}\left(\frac{2+\frac{3}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

\frac{14}{25} olish uchun 2 dan \frac{36}{25} ni ayirish.

$$\frac{\left(\left(\frac{14}{25}\times 15-2^{3}\right)^{2}\left(\frac{2+\frac{3}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

\frac{42}{5} hosil qilish uchun \frac{14}{25} va 15 ni ko'paytirish.

$$\frac{\left(\left(\frac{42}{5}-2^{3}\right)^{2}\left(\frac{2+\frac{3}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{\left(\left(\frac{42}{5}-8\right)^{2}\left(\frac{2+\frac{3}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

\frac{2}{5} olish uchun \frac{42}{5} dan 8 ni ayirish.

$$\frac{\left(\left(\frac{2}{5}\right)^{2}\left(\frac{2+\frac{3}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

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

$$\frac{\left(\frac{4}{25}\left(\frac{2+\frac{3}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

\frac{7}{2} olish uchun 2 va \frac{3}{2}'ni qo'shing.

$$\frac{\left(\frac{4}{25}\left(\frac{\frac{7}{2}+\frac{\frac{2}{3}}{\frac{2}{15}}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

\frac{2}{3} ni \frac{2}{15} ga bo'lish \frac{2}{3} ga k'paytirish \frac{2}{15} ga qaytarish.

$$\frac{\left(\frac{4}{25}\left(\frac{\frac{7}{2}+\frac{2}{3}\times \frac{15}{2}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

5 hosil qilish uchun \frac{2}{3} va \frac{15}{2} ni ko'paytirish.

$$\frac{\left(\frac{4}{25}\left(\frac{\frac{7}{2}+5}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

\frac{17}{2} olish uchun \frac{7}{2} va 5'ni qo'shing.

$$\frac{\left(\frac{4}{25}\left(\frac{\frac{17}{2}}{\frac{1}{10}}-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

\frac{17}{2} ni \frac{1}{10} ga bo'lish \frac{17}{2} ga k'paytirish \frac{1}{10} ga qaytarish.

$$\frac{\left(\frac{4}{25}\left(\frac{17}{2}\times 10-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

85 hosil qilish uchun \frac{17}{2} va 10 ni ko'paytirish.

$$\frac{\left(\frac{4}{25}\left(85-10\right)-3^{2}\right)^{2}}{\frac{9}{2}}$$

75 olish uchun 85 dan 10 ni ayirish.

$$\frac{\left(\frac{4}{25}\times 75-3^{2}\right)^{2}}{\frac{9}{2}}$$

12 hosil qilish uchun \frac{4}{25} va 75 ni ko'paytirish.

$$\frac{\left(12-3^{2}\right)^{2}}{\frac{9}{2}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{\left(12-9\right)^{2}}{\frac{9}{2}}$$

3 olish uchun 12 dan 9 ni ayirish.

$$\frac{3^{2}}{\frac{9}{2}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{9}{\frac{9}{2}}$$

9 ni \frac{9}{2} ga bo'lish 9 ga k'paytirish \frac{9}{2} ga qaytarish.

$$9\times \frac{2}{9}$$

2 hosil qilish uchun 9 va \frac{2}{9} ni ko'paytirish.

$$2$$

Omil

$$2$$