frac{(3x^{3}y^-9)^-2}{9x^-2y^-9} eching

$$\frac { ( 3 x ^ { 3 } y ^ { - 9 } ) ^ { - 2 } } { 9 x ^ { - 2 } y ^ { - 9 } }$$

Baholash

$$\frac{y^{27}}{81x^{4}}$$

Yechim qadamlari

\left(3x^{3}y^{-9}\right)^{-2} ni kengaytirish.

$$\frac{3^{-2}\left(x^{3}\right)^{-2}\left(y^{-9}\right)^{-2}}{9x^{-2}y^{-9}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -2 ni ko‘paytirib, -6 ni oling.

$$\frac{3^{-2}x^{-6}\left(y^{-9}\right)^{-2}}{9x^{-2}y^{-9}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -9 va -2 ni ko‘paytirib, 18 ni oling.

$$\frac{3^{-2}x^{-6}y^{18}}{9x^{-2}y^{-9}}$$

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{\frac{1}{9}x^{-6}y^{18}}{9x^{-2}y^{-9}}$$

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

$$\frac{\frac{1}{9}x^{-6}y^{27}}{9x^{-2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{9}y^{27}}{9x^{4}}$$

Kengaytirish

$$\frac{y^{27}}{81x^{4}}$$

Yechim qadamlari

\left(3x^{3}y^{-9}\right)^{-2} ni kengaytirish.

$$\frac{3^{-2}\left(x^{3}\right)^{-2}\left(y^{-9}\right)^{-2}}{9x^{-2}y^{-9}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -2 ni ko‘paytirib, -6 ni oling.

$$\frac{3^{-2}x^{-6}\left(y^{-9}\right)^{-2}}{9x^{-2}y^{-9}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -9 va -2 ni ko‘paytirib, 18 ni oling.

$$\frac{3^{-2}x^{-6}y^{18}}{9x^{-2}y^{-9}}$$

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{\frac{1}{9}x^{-6}y^{18}}{9x^{-2}y^{-9}}$$

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

$$\frac{\frac{1}{9}x^{-6}y^{27}}{9x^{-2}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{9}y^{27}}{9x^{4}}$$