{[33/4div(3/4-1)+(1-06)*(-5/2)^2]div(-5/3)-20}div(-1)^39 eching

$$\{ [ 3 \frac { 3 } { 4 } \div ( \frac { 3 } { 4 } - 1 ) + ( 1 - 06 ) \times ( - \frac { 5 } { 2 } ) ^ { 2 } ] \div ( - \frac { 5 } { 3 } ) - 20 \} \div ( - 1 ) ^ { 39 }$$

Baholash

$$\frac{59}{4}=14,75$$

Yechim qadamlari

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{\frac{\frac{\frac{12+3}{4}}{\frac{3}{4}-1}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

15 olish uchun 12 va 3'ni qo'shing.

$$\frac{\frac{\frac{\frac{15}{4}}{\frac{3}{4}-1}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

1 ni \frac{4}{4} kasrga o‘giring.

$$\frac{\frac{\frac{\frac{15}{4}}{\frac{3}{4}-\frac{4}{4}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

\frac{3}{4} va \frac{4}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\frac{\frac{15}{4}}{\frac{3-4}{4}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

-1 olish uchun 3 dan 4 ni ayirish.

$$\frac{\frac{\frac{\frac{15}{4}}{-\frac{1}{4}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

\frac{15}{4} ni -\frac{1}{4} ga bo'lish \frac{15}{4} ga k'paytirish -\frac{1}{4} ga qaytarish.

$$\frac{\frac{\frac{15}{4}\left(-4\right)+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

\frac{15}{4}\left(-4\right) ni yagona kasrga aylantiring.

$$\frac{\frac{\frac{15\left(-4\right)}{4}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

-60 hosil qilish uchun 15 va -4 ni ko'paytirish.

$$\frac{\frac{\frac{-60}{4}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

-15 ni olish uchun -60 ni 4 ga bo‘ling.

$$\frac{\frac{-15+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$\frac{\frac{-15+\left(1-0\right)\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

1 olish uchun 1 dan 0 ni ayirish.

$$\frac{\frac{-15+1\left(-\frac{5}{2}\right)^{2}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

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

$$\frac{\frac{-15+1\times \frac{25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

\frac{25}{4} hosil qilish uchun 1 va \frac{25}{4} ni ko'paytirish.

$$\frac{\frac{-15+\frac{25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

-15 ni -\frac{60}{4} kasrga o‘giring.

$$\frac{\frac{-\frac{60}{4}+\frac{25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

-\frac{60}{4} va \frac{25}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{\frac{-60+25}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

-35 olish uchun -60 va 25'ni qo'shing.

$$\frac{\frac{-\frac{35}{4}}{-\frac{5}{3}}-20}{\left(-1\right)^{39}}$$

-\frac{35}{4} ni -\frac{5}{3} ga bo'lish -\frac{35}{4} ga k'paytirish -\frac{5}{3} ga qaytarish.

$$\frac{-\frac{35}{4}\left(-\frac{3}{5}\right)-20}{\left(-1\right)^{39}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{35}{4} ni -\frac{3}{5} ga ko‘paytiring.

$$\frac{\frac{-35\left(-3\right)}{4\times 5}-20}{\left(-1\right)^{39}}$$

\frac{-35\left(-3\right)}{4\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{105}{20}-20}{\left(-1\right)^{39}}$$

\frac{105}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{21}{4}-20}{\left(-1\right)^{39}}$$

20 ni \frac{80}{4} kasrga o‘giring.

$$\frac{\frac{21}{4}-\frac{80}{4}}{\left(-1\right)^{39}}$$

\frac{21}{4} va \frac{80}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{21-80}{4}}{\left(-1\right)^{39}}$$

-59 olish uchun 21 dan 80 ni ayirish.

$$\frac{-\frac{59}{4}}{\left(-1\right)^{39}}$$

39 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$\frac{-\frac{59}{4}}{-1}$$

\frac{-\frac{59}{4}}{-1} ni yagona kasrga aylantiring.

$$\frac{-59}{4\left(-1\right)}$$

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

$$\frac{-59}{-4}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-59}{-4} kasrini \frac{59}{4} ga soddalashtirish mumkin.

$$\frac{59}{4}$$

Omil

$$\frac{59}{2 ^ {2}} = 14\frac{3}{4} = 14,75$$