frac{(3x^{-5}y^-2)^-2}{3x^-6y^-6}= eching

$$\frac { ( 3 x ^ { - 5 } y ^ { - 2 } ) ^ { - 2 } } { 3 x ^ { - 6 } y ^ { - 6 } } =$$

Baholash

$$\frac{y^{10}x^{16}}{27}$$

Yechim qadamlari

\left(3x^{-5}y^{-2}\right)^{-2} ni kengaytirish.

$$\frac{3^{-2}\left(x^{-5}\right)^{-2}\left(y^{-2}\right)^{-2}}{3x^{-6}y^{-6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -5 va -2 ni ko‘paytirib, 10 ni oling.

$$\frac{3^{-2}x^{10}\left(y^{-2}\right)^{-2}}{3x^{-6}y^{-6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -2 ni ko‘paytirib, 4 ni oling.

$$\frac{3^{-2}x^{10}y^{4}}{3x^{-6}y^{-6}}$$

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

$$\frac{\frac{1}{9}x^{10}y^{4}}{3x^{-6}y^{-6}}$$

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

$$\frac{\frac{1}{9}y^{10}x^{16}}{3}$$

\frac{1}{27}y^{10}x^{16} ni olish uchun \frac{1}{9}y^{10}x^{16} ni 3 ga bo‘ling.

$$\frac{1}{27}y^{10}x^{16}$$

Kengaytirish

$$\frac{y^{10}x^{16}}{27}$$

Yechim qadamlari

\left(3x^{-5}y^{-2}\right)^{-2} ni kengaytirish.

$$\frac{3^{-2}\left(x^{-5}\right)^{-2}\left(y^{-2}\right)^{-2}}{3x^{-6}y^{-6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -5 va -2 ni ko‘paytirib, 10 ni oling.

$$\frac{3^{-2}x^{10}\left(y^{-2}\right)^{-2}}{3x^{-6}y^{-6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -2 ni ko‘paytirib, 4 ni oling.

$$\frac{3^{-2}x^{10}y^{4}}{3x^{-6}y^{-6}}$$

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

$$\frac{\frac{1}{9}x^{10}y^{4}}{3x^{-6}y^{-6}}$$

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

$$\frac{\frac{1}{9}y^{10}x^{16}}{3}$$

\frac{1}{27}y^{10}x^{16} ni olish uchun \frac{1}{9}y^{10}x^{16} ni 3 ga bo‘ling.

$$\frac{1}{27}y^{10}x^{16}$$