(frac{x^{6}y^{3}}{x^{3}y^-3}*y^-7/x^-3)^10 eching

$$( \frac { x ^ { 6 } y ^ { 3 } } { x ^ { 3 } y ^ { - 3 } } \cdot \frac { y ^ { - 7 } } { x ^ { - 3 } } ) ^ { 10 }$$

Baholash

$$\frac{x^{60}}{y^{10}}$$

Yechim qadamlari

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

$$\left(\frac{x^{3}y^{3}}{y^{-3}}\times \frac{y^{-7}}{x^{-3}}\right)^{10}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(x^{3}y^{6}\times \frac{y^{-7}}{x^{-3}}\right)^{10}$$

x^{3}\times \frac{y^{-7}}{x^{-3}} ni yagona kasrga aylantiring.

$$\left(\frac{x^{3}y^{-7}}{x^{-3}}y^{6}\right)^{10}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(y^{-7}x^{6}y^{6}\right)^{10}$$

\left(y^{-7}x^{6}y^{6}\right)^{10} ni kengaytirish.

$$\left(y^{-7}\right)^{10}\left(x^{6}\right)^{10}\left(y^{6}\right)^{10}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -7 va 10 ni ko‘paytirib, -70 ni oling.

$$y^{-70}\left(x^{6}\right)^{10}\left(y^{6}\right)^{10}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 10 ni ko‘paytirib, 60 ni oling.

$$y^{-70}x^{60}\left(y^{6}\right)^{10}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 10 ni ko‘paytirib, 60 ni oling.

$$y^{-70}x^{60}y^{60}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -70 va 60 ni qo‘shib, -10 ni oling.

$$y^{-10}x^{60}$$

Kengaytirish

$$\frac{x^{60}}{y^{10}}$$

Yechim qadamlari

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

$$\left(\frac{x^{3}y^{3}}{y^{-3}}\times \frac{y^{-7}}{x^{-3}}\right)^{10}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(x^{3}y^{6}\times \frac{y^{-7}}{x^{-3}}\right)^{10}$$

x^{3}\times \frac{y^{-7}}{x^{-3}} ni yagona kasrga aylantiring.

$$\left(\frac{x^{3}y^{-7}}{x^{-3}}y^{6}\right)^{10}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\left(y^{-7}x^{6}y^{6}\right)^{10}$$

\left(y^{-7}x^{6}y^{6}\right)^{10} ni kengaytirish.

$$\left(y^{-7}\right)^{10}\left(x^{6}\right)^{10}\left(y^{6}\right)^{10}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -7 va 10 ni ko‘paytirib, -70 ni oling.

$$y^{-70}\left(x^{6}\right)^{10}\left(y^{6}\right)^{10}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 10 ni ko‘paytirib, 60 ni oling.

$$y^{-70}x^{60}\left(y^{6}\right)^{10}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 10 ni ko‘paytirib, 60 ni oling.

$$y^{-70}x^{60}y^{60}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -70 va 60 ni qo‘shib, -10 ni oling.

$$y^{-10}x^{60}$$