[5/4-(-2+3/4)^2]:(5/4)^2-(-2)^3}:[43/5-(-frac{4}{5})^2*(2-frac{3}{4})] eching

$$[ \frac { 5 } { 4 } - ( - 2 + \frac { 3 } { 4 } ) ^ { 2 } ] : ( \frac { 5 } { 4 } ) ^ { 2 } - ( - 2 ) ^ { 3 } \} : [ \frac { 43 } { 5 } - ( - \frac { 4 } { 5 } ) ^ { 2 } \cdot ( 2 - \frac { 3 } { 4 } ) ]$$

Baholash

$$\frac{39}{5}=7,8$$

Yechim qadamlari

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

$$\frac{\frac{5}{4}-\left(-\frac{5}{4}\right)^{2}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}$$

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

$$\frac{\frac{5}{4}-\frac{25}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}$$

-\frac{5}{16} olish uchun \frac{5}{4} dan \frac{25}{16} ni ayirish.

$$\frac{-\frac{5}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}$$

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

$$\frac{-\frac{5}{16}}{\frac{25}{16}}-\left(-2\right)^{3}$$

-\frac{5}{16} ni \frac{25}{16} ga bo'lish -\frac{5}{16} ga k'paytirish \frac{25}{16} ga qaytarish.

$$-\frac{5}{16}\times \frac{16}{25}-\left(-2\right)^{3}$$

-\frac{1}{5} hosil qilish uchun -\frac{5}{16} va \frac{16}{25} ni ko'paytirish.

$$-\frac{1}{5}-\left(-2\right)^{3}$$

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

$$-\frac{1}{5}-\left(-8\right)$$

-8 ning teskarisi 8 ga teng.

$$-\frac{1}{5}+8$$

\frac{39}{5} olish uchun -\frac{1}{5} va 8'ni qo'shing.

$$\frac{39}{5}$$

Omil

$$\frac{3 \cdot 13}{5} = 7\frac{4}{5} = 7,8$$