(-1/3*(5)^3+3*(25)-8(5))-(-64/3+48-32) eching

$$( - \frac { 1 } { 3 } \cdot ( 5 ) ^ { 3 } + 3 \cdot ( 25 ) - 8 ( 5 ) ) - ( - \frac { 64 } { 3 } + 48 - 32 )$$

Baholash

$$-\frac{4}{3}\approx -1,333333333$$

Yechim qadamlari

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$-\frac{1}{3}\times 125+3\times 25-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

-\frac{1}{3}\times 125 ni yagona kasrga aylantiring.

$$\frac{-125}{3}+3\times 25-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

\frac{-125}{3} kasri manfiy belgini olib tashlash bilan -\frac{125}{3} sifatida qayta yozilishi mumkin.

$$-\frac{125}{3}+3\times 25-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

75 hosil qilish uchun 3 va 25 ni ko'paytirish.

$$-\frac{125}{3}+75-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

75 ni \frac{225}{3} kasrga o‘giring.

$$-\frac{125}{3}+\frac{225}{3}-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

-\frac{125}{3} va \frac{225}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-125+225}{3}-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

100 olish uchun -125 va 225'ni qo'shing.

$$\frac{100}{3}-8\times 5-\left(-\frac{64}{3}+48-32\right)$$

40 hosil qilish uchun 8 va 5 ni ko'paytirish.

$$\frac{100}{3}-40-\left(-\frac{64}{3}+48-32\right)$$

40 ni \frac{120}{3} kasrga o‘giring.

$$\frac{100}{3}-\frac{120}{3}-\left(-\frac{64}{3}+48-32\right)$$

\frac{100}{3} va \frac{120}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{100-120}{3}-\left(-\frac{64}{3}+48-32\right)$$

-20 olish uchun 100 dan 120 ni ayirish.

$$-\frac{20}{3}-\left(-\frac{64}{3}+48-32\right)$$

48 ni \frac{144}{3} kasrga o‘giring.

$$-\frac{20}{3}-\left(-\frac{64}{3}+\frac{144}{3}-32\right)$$

-\frac{64}{3} va \frac{144}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{20}{3}-\left(\frac{-64+144}{3}-32\right)$$

80 olish uchun -64 va 144'ni qo'shing.

$$-\frac{20}{3}-\left(\frac{80}{3}-32\right)$$

32 ni \frac{96}{3} kasrga o‘giring.

$$-\frac{20}{3}-\left(\frac{80}{3}-\frac{96}{3}\right)$$

\frac{80}{3} va \frac{96}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{20}{3}-\frac{80-96}{3}$$

-16 olish uchun 80 dan 96 ni ayirish.

$$-\frac{20}{3}-\left(-\frac{16}{3}\right)$$

-\frac{16}{3} ning teskarisi \frac{16}{3} ga teng.

$$-\frac{20}{3}+\frac{16}{3}$$

-\frac{20}{3} va \frac{16}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-20+16}{3}$$

-4 olish uchun -20 va 16'ni qo'shing.

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

Omil

$$-\frac{4}{3} = -1\frac{1}{3} = -1,3333333333333333$$