frac{x^{4}y^{4}(xy)^{3}(xy)^{3}*(xy)^{3}}{(x^{2}y^{2})(x^2y^2)*(x^2y^2)} eching

$$\frac { x ^ { 4 } y ^ { 4 } ( x y ) ^ { 3 } ( x y ) ^ { 3 } \cdot ( x y ) ^ { 3 } } { ( x ^ { 2 } y ^ { 2 } ) ( x ^ { 2 } y ^ { 2 } ) \cdot ( x ^ { 2 } y ^ { 2 } ) }$$

Baholash

$$\left(xy\right)^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{6}\left(xy\right)^{3}}{x^{2}y^{2}x^{2}y^{2}x^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 3 ni qo‘shib, 9 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{2}y^{2}x^{2}y^{2}x^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{4}y^{2}y^{2}x^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{6}y^{2}y^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{6}y^{4}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{6}y^{6}}$$

Surat va maxrajdagi ikkala x^{4}y^{4} ni qisqartiring.

$$\frac{\left(xy\right)^{9}}{x^{2}y^{2}}$$

\left(xy\right)^{9} ni kengaytirish.

$$\frac{x^{9}y^{9}}{x^{2}y^{2}}$$

Surat va maxrajdagi ikkala x^{2}y^{2} ni qisqartiring.

$$x^{7}y^{7}$$

Kengaytirish

$$\left(xy\right)^{7}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 3 ni qo‘shib, 6 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{6}\left(xy\right)^{3}}{x^{2}y^{2}x^{2}y^{2}x^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 3 ni qo‘shib, 9 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{2}y^{2}x^{2}y^{2}x^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{4}y^{2}y^{2}x^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{6}y^{2}y^{2}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 2 ni qo‘shib, 4 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{6}y^{4}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 2 ni qo‘shib, 6 ni oling.

$$\frac{x^{4}y^{4}\left(xy\right)^{9}}{x^{6}y^{6}}$$

Surat va maxrajdagi ikkala x^{4}y^{4} ni qisqartiring.

$$\frac{\left(xy\right)^{9}}{x^{2}y^{2}}$$

\left(xy\right)^{9} ni kengaytirish.

$$\frac{x^{9}y^{9}}{x^{2}y^{2}}$$

Surat va maxrajdagi ikkala x^{2}y^{2} ni qisqartiring.

$$x^{7}y^{7}$$