frac{(x^{3}y^{4})^{6}(xy^6)^-4}{x^3y^2} eching

$$\frac { ( x ^ { 3 } y ^ { 4 } ) ^ { 6 } ( x y ^ { 6 } ) ^ { - 4 } } { x ^ { 3 } y ^ { 2 } }$$

Baholash

$$\frac{x^{11}}{y^{2}}$$

Yechim qadamlari

\left(x^{3}y^{4}\right)^{6} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 6 ni ko‘paytirib, 18 ni oling.

$$\frac{x^{18}\left(y^{4}\right)^{6}\left(xy^{6}\right)^{-4}}{x^{3}y^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 6 ni ko‘paytirib, 24 ni oling.

$$\frac{x^{18}y^{24}\left(xy^{6}\right)^{-4}}{x^{3}y^{2}}$$

\left(xy^{6}\right)^{-4} ni kengaytirish.

$$\frac{x^{18}y^{24}x^{-4}\left(y^{6}\right)^{-4}}{x^{3}y^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -4 ni ko‘paytirib, -24 ni oling.

$$\frac{x^{18}y^{24}x^{-4}y^{-24}}{x^{3}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 18 va -4 ni qo‘shib, 14 ni oling.

$$\frac{x^{14}y^{24}y^{-24}}{x^{3}y^{2}}$$

1 hosil qilish uchun y^{24} va y^{-24} ni ko'paytirish.

$$\frac{x^{14}}{x^{3}y^{2}}$$

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

$$\frac{x^{11}}{y^{2}}$$

Kengaytirish

$$\frac{x^{11}}{y^{2}}$$

Yechim qadamlari

\left(x^{3}y^{4}\right)^{6} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 6 ni ko‘paytirib, 18 ni oling.

$$\frac{x^{18}\left(y^{4}\right)^{6}\left(xy^{6}\right)^{-4}}{x^{3}y^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 6 ni ko‘paytirib, 24 ni oling.

$$\frac{x^{18}y^{24}\left(xy^{6}\right)^{-4}}{x^{3}y^{2}}$$

\left(xy^{6}\right)^{-4} ni kengaytirish.

$$\frac{x^{18}y^{24}x^{-4}\left(y^{6}\right)^{-4}}{x^{3}y^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -4 ni ko‘paytirib, -24 ni oling.

$$\frac{x^{18}y^{24}x^{-4}y^{-24}}{x^{3}y^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 18 va -4 ni qo‘shib, 14 ni oling.

$$\frac{x^{14}y^{24}y^{-24}}{x^{3}y^{2}}$$

1 hosil qilish uchun y^{24} va y^{-24} ni ko'paytirish.

$$\frac{x^{14}}{x^{3}y^{2}}$$

Surat va maxrajdagi ikkala x^{3} ni qisqartiring.

$$\frac{x^{11}}{y^{2}}$$