11/7:[(-3/2)^-1-(4/3-2)^2*(3/7-frac{3}{4})] eching

$$\frac { 11 } { 7 } : [ ( - \frac { 3 } { 2 } ) ^ { - 1 } - ( \frac { 4 } { 3 } - 2 ) ^ { 2 } \cdot ( \frac { 3 } { 7 } - \frac { 3 } { 4 } ) ]$$

Baholash

$$-3$$

Yechim qadamlari

-1 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va -\frac{2}{3} ni qiymatni oling.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(\frac{4}{3}-2\right)^{2}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

-\frac{2}{3} olish uchun \frac{4}{3} dan 2 ni ayirish.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(-\frac{2}{3}\right)^{2}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

2 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va \frac{4}{9} ni qiymatni oling.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\frac{4}{9}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

-\frac{9}{28} olish uchun \frac{3}{7} dan \frac{3}{4} ni ayirish.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\frac{4}{9}\left(-\frac{9}{28}\right)}$$

-\frac{1}{7} hosil qilish uchun \frac{4}{9} va -\frac{9}{28} ni ko'paytirish.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(-\frac{1}{7}\right)}$$

-\frac{1}{7} ning teskarisi \frac{1}{7} ga teng.

$$\frac{\frac{11}{7}}{-\frac{2}{3}+\frac{1}{7}}$$

-\frac{11}{21} olish uchun -\frac{2}{3} va \frac{1}{7}'ni qo'shing.

$$\frac{\frac{11}{7}}{-\frac{11}{21}}$$

\frac{11}{7} ni -\frac{11}{21} ga bo'lish \frac{11}{7} ga k'paytirish -\frac{11}{21} ga qaytarish.

$$\frac{11}{7}\left(-\frac{21}{11}\right)$$

-3 hosil qilish uchun \frac{11}{7} va -\frac{21}{11} ni ko'paytirish.

$$-3$$

Omil

$$-3$$