(-3)^2div21/4*(-2/3)^2+4-2^2*(-1/3) eching

$$( - 3 ) ^ { 2 } \div 2 \frac { 1 } { 4 } \times ( - \frac { 2 } { 3 } ) ^ { 2 } + 4 - 2 ^ { 2 } \times ( - \frac { 1 } { 3 } )$$

Baholash

$$\frac{64}{9}\approx 7,111111111$$

Yechim qadamlari

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

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

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{9}{\frac{8+1}{4}}\left(-\frac{2}{3}\right)^{2}+4-2^{2}\left(-\frac{1}{3}\right)$$

9 olish uchun 8 va 1'ni qo'shing.

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

9 ni \frac{9}{4} ga bo'lish 9 ga k'paytirish \frac{9}{4} ga qaytarish.

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

9 va 9 ni qisqartiring.

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

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

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

4\times \frac{4}{9} ni yagona kasrga aylantiring.

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

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$\frac{16}{9}+4-2^{2}\left(-\frac{1}{3}\right)$$

4 ni \frac{36}{9} kasrga o‘giring.

$$\frac{16}{9}+\frac{36}{9}-2^{2}\left(-\frac{1}{3}\right)$$

\frac{16}{9} va \frac{36}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{16+36}{9}-2^{2}\left(-\frac{1}{3}\right)$$

52 olish uchun 16 va 36'ni qo'shing.

$$\frac{52}{9}-2^{2}\left(-\frac{1}{3}\right)$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{52}{9}-4\left(-\frac{1}{3}\right)$$

4\left(-\frac{1}{3}\right) ni yagona kasrga aylantiring.

$$\frac{52}{9}-\frac{4\left(-1\right)}{3}$$

-4 hosil qilish uchun 4 va -1 ni ko'paytirish.

$$\frac{52}{9}-\frac{-4}{3}$$

\frac{-4}{3} kasri manfiy belgini olib tashlash bilan -\frac{4}{3} sifatida qayta yozilishi mumkin.

$$\frac{52}{9}-\left(-\frac{4}{3}\right)$$

-\frac{4}{3} ning teskarisi \frac{4}{3} ga teng.

$$\frac{52}{9}+\frac{4}{3}$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{52}{9} va \frac{4}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\frac{52}{9}+\frac{12}{9}$$

\frac{52}{9} va \frac{12}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{52+12}{9}$$

64 olish uchun 52 va 12'ni qo'shing.

$$\frac{64}{9}$$

Omil

$$\frac{2 ^ {6}}{3 ^ {2}} = 7\frac{1}{9} = 7,111111111111111$$