-5/4+5/2*[(-3/5)^2-(1/2)^4*(-32)]div(-2frac{4}{5}) eching

$$- \frac { 5 } { 4 } + \frac { 5 } { 2 } \times [ ( - \frac { 3 } { 5 } ) ^ { 2 } - ( \frac { 1 } { 2 } ) ^ { 4 } \times ( - 32 ) ] \div ( - 2 \frac { 4 } { 5 } )$$

Baholash

$$-\frac{47}{14}\approx -3,357142857$$

Yechim qadamlari

2 daraja ko‘rsatkichini -\frac{3}{5} ga hisoblang va \frac{9}{25} ni qiymatni oling.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\left(\frac{1}{2}\right)^{4}\left(-32\right)\right)}{-\frac{2\times 5+4}{5}}$$

4 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\frac{1}{16}\left(-32\right)\right)}{-\frac{2\times 5+4}{5}}$$

\frac{-32}{16} hosil qilish uchun \frac{1}{16} va -32 ni ko'paytirish.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\frac{-32}{16}\right)}{-\frac{2\times 5+4}{5}}$$

-2 ni olish uchun -32 ni 16 ga bo‘ling.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\left(-2\right)\right)}{-\frac{2\times 5+4}{5}}$$

-2 ning teskarisi 2 ga teng.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}+2\right)}{-\frac{2\times 5+4}{5}}$$

2 ni \frac{50}{25} kasrga o‘giring.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}+\frac{50}{25}\right)}{-\frac{2\times 5+4}{5}}$$

\frac{9}{25} va \frac{50}{25} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{5}{4}+\frac{\frac{5}{2}\times \frac{9+50}{25}}{-\frac{2\times 5+4}{5}}$$

59 olish uchun 9 va 50'ni qo'shing.

$$-\frac{5}{4}+\frac{\frac{5}{2}\times \frac{59}{25}}{-\frac{2\times 5+4}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{2} ni \frac{59}{25} ga ko‘paytiring.

$$-\frac{5}{4}+\frac{\frac{5\times 59}{2\times 25}}{-\frac{2\times 5+4}{5}}$$

\frac{5\times 59}{2\times 25} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{5}{4}+\frac{\frac{295}{50}}{-\frac{2\times 5+4}{5}}$$

\frac{295}{50} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{5}{4}+\frac{\frac{59}{10}}{-\frac{2\times 5+4}{5}}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$-\frac{5}{4}+\frac{\frac{59}{10}}{-\frac{10+4}{5}}$$

14 olish uchun 10 va 4'ni qo'shing.

$$-\frac{5}{4}+\frac{\frac{59}{10}}{-\frac{14}{5}}$$

\frac{59}{10} ni -\frac{14}{5} ga bo'lish \frac{59}{10} ga k'paytirish -\frac{14}{5} ga qaytarish.

$$-\frac{5}{4}+\frac{59}{10}\left(-\frac{5}{14}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{59}{10} ni -\frac{5}{14} ga ko‘paytiring.

$$-\frac{5}{4}+\frac{59\left(-5\right)}{10\times 14}$$

\frac{59\left(-5\right)}{10\times 14} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{5}{4}+\frac{-295}{140}$$

\frac{-295}{140} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{5}{4}-\frac{59}{28}$$

4 va 28 ning eng kichik umumiy karralisi 28 ga teng. -\frac{5}{4} va \frac{59}{28} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{35}{28}-\frac{59}{28}$$

-\frac{35}{28} va \frac{59}{28} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-35-59}{28}$$

-94 olish uchun -35 dan 59 ni ayirish.

$$\frac{-94}{28}$$

\frac{-94}{28} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{47}{14}$$

Omil

$$-\frac{47}{14} = -3\frac{5}{14} = -3,357142857142857$$