(-5)*[(-1/85+18/17-1/5)*17-(-4/5)^2]-|-2*(-2)^3| eching

$$( - 5 ) \times [ ( - \frac { 1 } { 85 } + 1 \frac { 8 } { 17 } - \frac { 1 } { 5 } ) \times 17 - ( - \frac { 4 } { 5 } ) ^ { 2 } ] - | - 2 \times ( - 2 ) ^ { 3 } |$$

Baholash

$$-\frac{599}{5}=-119,8$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$-5\left(\left(-\frac{1}{85}+\frac{17+8}{17}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

25 olish uchun 17 va 8'ni qo'shing.

$$-5\left(\left(-\frac{1}{85}+\frac{25}{17}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

85 va 17 ning eng kichik umumiy karralisi 85 ga teng. -\frac{1}{85} va \frac{25}{17} ni 85 maxraj bilan kasrlarga aylantirib oling.

$$-5\left(\left(-\frac{1}{85}+\frac{125}{85}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

-\frac{1}{85} va \frac{125}{85} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-5\left(\left(\frac{-1+125}{85}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

124 olish uchun -1 va 125'ni qo'shing.

$$-5\left(\left(\frac{124}{85}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

85 va 5 ning eng kichik umumiy karralisi 85 ga teng. \frac{124}{85} va \frac{1}{5} ni 85 maxraj bilan kasrlarga aylantirib oling.

$$-5\left(\left(\frac{124}{85}-\frac{17}{85}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

\frac{124}{85} va \frac{17}{85} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-5\left(\frac{124-17}{85}\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

107 olish uchun 124 dan 17 ni ayirish.

$$-5\left(\frac{107}{85}\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

\frac{107}{85}\times 17 ni yagona kasrga aylantiring.

$$-5\left(\frac{107\times 17}{85}-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

1819 hosil qilish uchun 107 va 17 ni ko'paytirish.

$$-5\left(\frac{1819}{85}-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

\frac{1819}{85} ulushini 17 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-5\left(\frac{107}{5}-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

2 daraja ko‘rsatkichini -\frac{4}{5} ga hisoblang va \frac{16}{25} ni qiymatni oling.

$$-5\left(\frac{107}{5}-\frac{16}{25}\right)-|\left(-2\right)^{4}|$$

5 va 25 ning eng kichik umumiy karralisi 25 ga teng. \frac{107}{5} va \frac{16}{25} ni 25 maxraj bilan kasrlarga aylantirib oling.

$$-5\left(\frac{535}{25}-\frac{16}{25}\right)-|\left(-2\right)^{4}|$$

\frac{535}{25} va \frac{16}{25} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-5\times \frac{535-16}{25}-|\left(-2\right)^{4}|$$

519 olish uchun 535 dan 16 ni ayirish.

$$-5\times \frac{519}{25}-|\left(-2\right)^{4}|$$

-5\times \frac{519}{25} ni yagona kasrga aylantiring.

$$\frac{-5\times 519}{25}-|\left(-2\right)^{4}|$$

-2595 hosil qilish uchun -5 va 519 ni ko'paytirish.

$$\frac{-2595}{25}-|\left(-2\right)^{4}|$$

\frac{-2595}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{519}{5}-|\left(-2\right)^{4}|$$

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

$$-\frac{519}{5}-|16|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. 16 ning mutloq qiymati 16 ga teng.

$$-\frac{519}{5}-16$$

16 ni \frac{80}{5} kasrga o‘giring.

$$-\frac{519}{5}-\frac{80}{5}$$

-\frac{519}{5} va \frac{80}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-519-80}{5}$$

-599 olish uchun -519 dan 80 ni ayirish.

$$-\frac{599}{5}$$

Omil

$$-\frac{599}{5} = -119\frac{4}{5} = -119,8$$