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

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

Baholash

$$y^{7}x^{12}$$

Yechim qadamlari

\frac{x^{5}}{y^{-3}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

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

$$\frac{x^{10}\left(x^{-2}\right)^{-1}}{\left(y^{-3}\right)^{2}y^{-1}}$$

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

$$\frac{x^{10}x^{2}}{\left(y^{-3}\right)^{2}y^{-1}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va 2 ni qo‘shib, 12 ni oling.

$$\frac{x^{12}}{\left(y^{-3}\right)^{2}y^{-1}}$$

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

$$\frac{x^{12}}{y^{-6}y^{-1}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va -1 ni qo‘shib, -7 ni oling.

$$\frac{x^{12}}{y^{-7}}$$

Kengaytirish

$$y^{7}x^{12}$$

Yechim qadamlari

\frac{x^{5}}{y^{-3}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

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

$$\frac{x^{10}\left(x^{-2}\right)^{-1}}{\left(y^{-3}\right)^{2}y^{-1}}$$

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

$$\frac{x^{10}x^{2}}{\left(y^{-3}\right)^{2}y^{-1}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 10 va 2 ni qo‘shib, 12 ni oling.

$$\frac{x^{12}}{\left(y^{-3}\right)^{2}y^{-1}}$$

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

$$\frac{x^{12}}{y^{-6}y^{-1}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va -1 ni qo‘shib, -7 ni oling.

$$\frac{x^{12}}{y^{-7}}$$