[(2-13/5)^2+(5/8-3/4)-(6/5*frac{1}{3})^4*(7frac{1}{2})^3]:(5-frac{6}{5})= eching

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

Baholash

$$-\frac{2153}{760}\approx -2,832894737$$

Yechim qadamlari

5 hosil qilish uchun 1 va 5 ni ko'paytirish.

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

8 olish uchun 5 va 3'ni qo'shing.

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

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

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

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

$$\frac{\frac{4}{25}+\frac{5}{8}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

\frac{157}{200} olish uchun \frac{4}{25} va \frac{5}{8}'ni qo'shing.

$$\frac{\frac{157}{200}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

\frac{7}{200} olish uchun \frac{157}{200} dan \frac{3}{4} ni ayirish.

$$\frac{\frac{7}{200}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

\frac{2}{5} hosil qilish uchun \frac{6}{5} va \frac{1}{3} ni ko'paytirish.

$$\frac{\frac{7}{200}-\left(\frac{2}{5}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

4 daraja ko‘rsatkichini \frac{2}{5} ga hisoblang va \frac{16}{625} ni qiymatni oling.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{14+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

15 olish uchun 14 va 1'ni qo'shing.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{15}{2}\right)^{3}}{5-\frac{6}{5}}$$

3 daraja ko‘rsatkichini \frac{15}{2} ga hisoblang va \frac{3375}{8} ni qiymatni oling.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \frac{3375}{8}}{5-\frac{6}{5}}$$

\frac{54}{5} hosil qilish uchun \frac{16}{625} va \frac{3375}{8} ni ko'paytirish.

$$\frac{\frac{7}{200}-\frac{54}{5}}{5-\frac{6}{5}}$$

-\frac{2153}{200} olish uchun \frac{7}{200} dan \frac{54}{5} ni ayirish.

$$\frac{-\frac{2153}{200}}{5-\frac{6}{5}}$$

\frac{19}{5} olish uchun 5 dan \frac{6}{5} ni ayirish.

$$\frac{-\frac{2153}{200}}{\frac{19}{5}}$$

-\frac{2153}{200} ni \frac{19}{5} ga bo'lish -\frac{2153}{200} ga k'paytirish \frac{19}{5} ga qaytarish.

$$-\frac{2153}{200}\times \frac{5}{19}$$

-\frac{2153}{760} hosil qilish uchun -\frac{2153}{200} va \frac{5}{19} ni ko'paytirish.

$$-\frac{2153}{760}$$

Omil

$$-\frac{2153}{760} = -2\frac{633}{760} = -2,832894736842105$$