frac{(-12)^{4}(-45)^{3}*70^2}{(-60)^3-18^2(-45)^4} eching

$$\frac { ( - 12 ) ^ { 4 } ( - 45 ) ^ { 3 } \cdot 70 ^ { 2 } } { ( - 60 ) ^ { 3 } - 18 ^ { 2 } ( - 45 ) ^ { 4 } }$$

Baholash

$$\frac{685843200}{98431}\approx 6967,756093101$$

Yechim qadamlari

4 daraja ko‘rsatkichini -12 ga hisoblang va 20736 ni qiymatni oling.

$$\frac{20736\left(-45\right)^{3}\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

3 daraja ko‘rsatkichini -45 ga hisoblang va -91125 ni qiymatni oling.

$$\frac{20736\left(-91125\right)\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

-1889568000 hosil qilish uchun 20736 va -91125 ni ko'paytirish.

$$\frac{-1889568000\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

2 daraja ko‘rsatkichini 70 ga hisoblang va 4900 ni qiymatni oling.

$$\frac{-1889568000\times 4900}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

-9258883200000 hosil qilish uchun -1889568000 va 4900 ni ko'paytirish.

$$\frac{-9258883200000}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

3 daraja ko‘rsatkichini -60 ga hisoblang va -216000 ni qiymatni oling.

$$\frac{-9258883200000}{-216000-18^{2}\left(-45\right)^{4}}$$

2 daraja ko‘rsatkichini 18 ga hisoblang va 324 ni qiymatni oling.

$$\frac{-9258883200000}{-216000-324\left(-45\right)^{4}}$$

4 daraja ko‘rsatkichini -45 ga hisoblang va 4100625 ni qiymatni oling.

$$\frac{-9258883200000}{-216000-324\times 4100625}$$

1328602500 hosil qilish uchun 324 va 4100625 ni ko'paytirish.

$$\frac{-9258883200000}{-216000-1328602500}$$

-1328818500 olish uchun -216000 dan 1328602500 ni ayirish.

$$\frac{-9258883200000}{-1328818500}$$

\frac{-9258883200000}{-1328818500} ulushini -13500 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{685843200}{98431}$$

Omil

$$\frac{2 ^ {8} \cdot 3 ^ {7} \cdot 5 ^ {2} \cdot 7 ^ {2}}{257 \cdot 383} = 6967\frac{74423}{98431} = 6967,756093100751$$