2/3-2^33^24-5-2^23^3{4}^2+10 eching

$$\frac{ 2 }{ 3 } - { 2 }^{ 3 } { 3 }^{ 2 } 4-5- { 2 }^{ 2 } { 3 }^{ 3 } { 4 }^{ 2 } +10$$

Baholash

$$-\frac{6031}{3}\approx -2010,333333333$$

Yechim qadamlari

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

$$\frac{2}{3}-8\times 3^{2}\times 4-5-2^{2}\times 3^{3}\times 4^{2}+10$$

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

$$\frac{2}{3}-8\times 9\times 4-5-2^{2}\times 3^{3}\times 4^{2}+10$$

72 hosil qilish uchun 8 va 9 ni ko'paytirish.

$$\frac{2}{3}-72\times 4-5-2^{2}\times 3^{3}\times 4^{2}+10$$

288 hosil qilish uchun 72 va 4 ni ko'paytirish.

$$\frac{2}{3}-288-5-2^{2}\times 3^{3}\times 4^{2}+10$$

288 ni \frac{864}{3} kasrga o‘giring.

$$\frac{2}{3}-\frac{864}{3}-5-2^{2}\times 3^{3}\times 4^{2}+10$$

\frac{2}{3} va \frac{864}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2-864}{3}-5-2^{2}\times 3^{3}\times 4^{2}+10$$

-862 olish uchun 2 dan 864 ni ayirish.

$$-\frac{862}{3}-5-2^{2}\times 3^{3}\times 4^{2}+10$$

5 ni \frac{15}{3} kasrga o‘giring.

$$-\frac{862}{3}-\frac{15}{3}-2^{2}\times 3^{3}\times 4^{2}+10$$

-\frac{862}{3} va \frac{15}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-862-15}{3}-2^{2}\times 3^{3}\times 4^{2}+10$$

-877 olish uchun -862 dan 15 ni ayirish.

$$-\frac{877}{3}-2^{2}\times 3^{3}\times 4^{2}+10$$

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

$$-\frac{877}{3}-4\times 3^{3}\times 4^{2}+10$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$-\frac{877}{3}-4\times 27\times 4^{2}+10$$

108 hosil qilish uchun 4 va 27 ni ko'paytirish.

$$-\frac{877}{3}-108\times 4^{2}+10$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$-\frac{877}{3}-108\times 16+10$$

1728 hosil qilish uchun 108 va 16 ni ko'paytirish.

$$-\frac{877}{3}-1728+10$$

1728 ni \frac{5184}{3} kasrga o‘giring.

$$-\frac{877}{3}-\frac{5184}{3}+10$$

-\frac{877}{3} va \frac{5184}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-877-5184}{3}+10$$

-6061 olish uchun -877 dan 5184 ni ayirish.

$$-\frac{6061}{3}+10$$

10 ni \frac{30}{3} kasrga o‘giring.

$$-\frac{6061}{3}+\frac{30}{3}$$

-\frac{6061}{3} va \frac{30}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-6061+30}{3}$$

-6031 olish uchun -6061 va 30'ni qo'shing.

$$-\frac{6031}{3}$$

Omil

$$-\frac{6031}{3} = -2010\frac{1}{3} = -2010,3333333333333$$