x^3/y^5(x/y^2)^-1 eching

$$\frac { x ^ { 3 } } { y ^ { 5 } } ( \frac { x } { y ^ { 2 } } ) ^ { - 1 }$$

Baholash

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

Yechim qadamlari

\frac{x}{y^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{x^{3}}{y^{5}}\times \frac{x^{-1}}{\left(y^{2}\right)^{-1}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x^{3}}{y^{5}} ni \frac{x^{-1}}{\left(y^{2}\right)^{-1}} ga ko‘paytiring.

$$\frac{x^{3}x^{-1}}{y^{5}\left(y^{2}\right)^{-1}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va -1 ni qo‘shib, 2 ni oling.

$$\frac{x^{2}}{y^{5}\left(y^{2}\right)^{-1}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -1 ni ko‘paytirib, -2 ni oling.

$$\frac{x^{2}}{y^{5}y^{-2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va -2 ni qo‘shib, 3 ni oling.

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

x ga nisbatan hosilani topish

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