8^-1+{left(frac{2/3right)}^-2-5^0}{{left(2/3right)}^-2+4^-1-7^0}+31/21 eching

$$\frac{ { 8 }^{ -1 } + { \left( \frac{ 2 }{ 3 } \right) }^{ -2 } - { 5 }^{ 0 } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ -2 } + { 4 }^{ -1 } - { 7 }^{ 0 } } + \frac{ 31 }{ 21 }$$

Baholash

$$\frac{67}{28}\approx 2,392857143$$

Yechim qadamlari

-1 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}+\left(\frac{2}{3}\right)^{-2}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{1}{8}+\frac{9}{4}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

\frac{19}{8} olish uchun \frac{1}{8} va \frac{9}{4}'ni qo'shing.

$$\frac{\frac{19}{8}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

0 daraja ko‘rsatkichini 5 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\frac{19}{8}-1}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

\frac{11}{8} olish uchun \frac{19}{8} dan 1 ni ayirish.

$$\frac{\frac{11}{8}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{11}{8}}{\frac{9}{4}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{11}{8}}{\frac{9}{4}+\frac{1}{4}-7^{0}}+\frac{31}{21}$$

\frac{5}{2} olish uchun \frac{9}{4} va \frac{1}{4}'ni qo'shing.

$$\frac{\frac{11}{8}}{\frac{5}{2}-7^{0}}+\frac{31}{21}$$

0 daraja ko‘rsatkichini 7 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\frac{11}{8}}{\frac{5}{2}-1}+\frac{31}{21}$$

\frac{3}{2} olish uchun \frac{5}{2} dan 1 ni ayirish.

$$\frac{\frac{11}{8}}{\frac{3}{2}}+\frac{31}{21}$$

\frac{11}{8} ni \frac{3}{2} ga bo'lish \frac{11}{8} ga k'paytirish \frac{3}{2} ga qaytarish.

$$\frac{11}{8}\times \frac{2}{3}+\frac{31}{21}$$

\frac{11}{12} hosil qilish uchun \frac{11}{8} va \frac{2}{3} ni ko'paytirish.

$$\frac{11}{12}+\frac{31}{21}$$

\frac{67}{28} olish uchun \frac{11}{12} va \frac{31}{21}'ni qo'shing.

$$\frac{67}{28}$$

Omil

$$\frac{67}{2 ^ {2} \cdot 7} = 2\frac{11}{28} = 2,392857142857143$$