frac{(-2)^{5}*3^7*2^2}{6^6*(-1)^10} eching

$$\frac { ( - 2 ) ^ { 5 } \cdot 3 ^ { 7 } \cdot 2 ^ { 2 } } { 6 ^ { 6 } \cdot ( - 1 ) ^ { 10 } }$$

Baholash

$$-6$$

Yechim qadamlari

5 daraja ko‘rsatkichini -2 ga hisoblang va -32 ni qiymatni oling.

$$\frac{-32\times 3^{7}\times 2^{2}}{6^{6}\left(-1\right)^{10}}$$

7 daraja ko‘rsatkichini 3 ga hisoblang va 2187 ni qiymatni oling.

$$\frac{-32\times 2187\times 2^{2}}{6^{6}\left(-1\right)^{10}}$$

-69984 hosil qilish uchun -32 va 2187 ni ko'paytirish.

$$\frac{-69984\times 2^{2}}{6^{6}\left(-1\right)^{10}}$$

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

$$\frac{-69984\times 4}{6^{6}\left(-1\right)^{10}}$$

-279936 hosil qilish uchun -69984 va 4 ni ko'paytirish.

$$\frac{-279936}{6^{6}\left(-1\right)^{10}}$$

6 daraja ko‘rsatkichini 6 ga hisoblang va 46656 ni qiymatni oling.

$$\frac{-279936}{46656\left(-1\right)^{10}}$$

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

$$\frac{-279936}{46656\times 1}$$

46656 hosil qilish uchun 46656 va 1 ni ko'paytirish.

$$\frac{-279936}{46656}$$

-6 ni olish uchun -279936 ni 46656 ga bo‘ling.

$$-6$$

Omil

$$-6$$