(2xy)^2*(-3x)^3*y eching

$$( 2 x y ) ^ { 2 } \cdot ( - 3 x ) ^ { 3 } \cdot y$$

Baholash

$$-108y^{3}x^{5}$$

Yechim qadamlari

\left(2xy\right)^{2} ni kengaytirish.

$$2^{2}x^{2}y^{2}\left(-3x\right)^{3}y$$

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

$$4x^{2}y^{2}\left(-3x\right)^{3}y$$

\left(-3x\right)^{3} ni kengaytirish.

$$4x^{2}y^{2}\left(-3\right)^{3}x^{3}y$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$4x^{2}y^{2}\left(-27\right)x^{3}y$$

-108 hosil qilish uchun 4 va -27 ni ko'paytirish.

$$-108x^{2}y^{2}x^{3}y$$

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

$$-108x^{5}y^{2}y$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$-108x^{5}y^{3}$$

Kengaytirish

$$-108y^{3}x^{5}$$

Yechim qadamlari

\left(2xy\right)^{2} ni kengaytirish.

$$2^{2}x^{2}y^{2}\left(-3x\right)^{3}y$$

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

$$4x^{2}y^{2}\left(-3x\right)^{3}y$$

\left(-3x\right)^{3} ni kengaytirish.

$$4x^{2}y^{2}\left(-3\right)^{3}x^{3}y$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$4x^{2}y^{2}\left(-27\right)x^{3}y$$

-108 hosil qilish uchun 4 va -27 ni ko'paytirish.

$$-108x^{2}y^{2}x^{3}y$$

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

$$-108x^{5}y^{2}y$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$-108x^{5}y^{3}$$