6x^{4}*3x^-9y^-3y^-4*3y^-1 eching

$$6 x ^ { 4 } \cdot 3 x ^ { - 9 } y ^ { - 3 } y ^ { - 4 } \cdot 3 y ^ { - 1 }$$

Baholash

$$\frac{54}{x^{5}y^{8}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va -9 ni qo‘shib, -5 ni oling.

$$6x^{-5}\times 3y^{-3}y^{-4}\times 3y^{-1}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -3 va -4 ni qo‘shib, -7 ni oling.

$$6x^{-5}\times 3y^{-7}\times 3y^{-1}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -7 va -1 ni qo‘shib, -8 ni oling.

$$6x^{-5}\times 3y^{-8}\times 3$$

18 hosil qilish uchun 6 va 3 ni ko'paytirish.

$$18x^{-5}y^{-8}\times 3$$

54 hosil qilish uchun 18 va 3 ni ko'paytirish.

$$54x^{-5}y^{-8}$$

x ga nisbatan hosilani topish

$$-\frac{270}{x^{6}y^{8}}$$