-3|1-5|+2(3-5)^2/(4-8)^2+2(-1)^15 eching

$$\frac { - 3 | 1 - 5 | + 2 ( 3 - 5 ) ^ { 2 } } { ( 4 - 8 ) ^ { 2 } + 2 ( - 1 ) ^ { 15 } }$$

Baholash

$$-\frac{2}{7}\approx -0,285714286$$

Yechim qadamlari

-4 olish uchun 1 dan 5 ni ayirish.

$$\frac{-3|-4|+2\left(3-5\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{15}}$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -4 ning mutloq qiymati 4 ga teng.

$$\frac{-3\times 4+2\left(3-5\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{15}}$$

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

$$\frac{-12+2\left(3-5\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{15}}$$

-2 olish uchun 3 dan 5 ni ayirish.

$$\frac{-12+2\left(-2\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{15}}$$

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

$$\frac{-12+2\times 4}{\left(4-8\right)^{2}+2\left(-1\right)^{15}}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{-12+8}{\left(4-8\right)^{2}+2\left(-1\right)^{15}}$$

-4 olish uchun -12 va 8'ni qo'shing.

$$\frac{-4}{\left(4-8\right)^{2}+2\left(-1\right)^{15}}$$

-4 olish uchun 4 dan 8 ni ayirish.

$$\frac{-4}{\left(-4\right)^{2}+2\left(-1\right)^{15}}$$

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

$$\frac{-4}{16+2\left(-1\right)^{15}}$$

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

$$\frac{-4}{16+2\left(-1\right)}$$

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$\frac{-4}{16-2}$$

14 olish uchun 16 dan 2 ni ayirish.

$$\frac{-4}{14}$$

\frac{-4}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{2}{7}$$

Omil

$$-\frac{2}{7} = -0,2857142857142857$$