2u^{-2}w^-3u^5*4x^-2*4w^4x eching

$$2 u ^ { - 2 } w ^ { - 3 } u ^ { 5 } \cdot 4 x ^ { - 2 } \cdot 4 w ^ { 4 } x$$

Baholash

$$\frac{32wu^{3}}{x}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 5 ni qo‘shib, 3 ni oling.

$$2u^{3}w^{-3}\times 4x^{-2}\times 4w^{4}x$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -3 va 4 ni qo‘shib, 1 ni oling.

$$2u^{3}w^{1}\times 4x^{-2}\times 4x$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 1 ni qo‘shib, -1 ni oling.

$$2u^{3}w^{1}\times 4x^{-1}\times 4$$

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

$$2u^{3}w\times 4x^{-1}\times 4$$

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

$$8u^{3}wx^{-1}\times 4$$

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

$$32u^{3}wx^{-1}$$

x ga nisbatan hosilani topish

$$-\frac{32wu^{3}}{x^{2}}$$