(2xy/6x^2)^2(y^2/xz)^-3 eching

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

Baholash

$$\frac{xz^{3}}{9y^{4}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2x ni qisqartiring.

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

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

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

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

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

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

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

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

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -6 ni qo‘shib, -4 ni oling.

$$\frac{y^{-4}}{\left(3x\right)^{2}\left(xz\right)^{-3}}$$

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

$$\frac{y^{-4}}{3^{2}x^{2}\left(xz\right)^{-3}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{y^{-4}}{9x^{2}\left(xz\right)^{-3}}$$

\left(xz\right)^{-3} ni kengaytirish.

$$\frac{y^{-4}}{9x^{2}x^{-3}z^{-3}}$$

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

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

Kengaytirish

$$\frac{xz^{3}}{9y^{4}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2x ni qisqartiring.

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

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

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

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

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

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

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

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

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -6 ni qo‘shib, -4 ni oling.

$$\frac{y^{-4}}{\left(3x\right)^{2}\left(xz\right)^{-3}}$$

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

$$\frac{y^{-4}}{3^{2}x^{2}\left(xz\right)^{-3}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{y^{-4}}{9x^{2}\left(xz\right)^{-3}}$$

\left(xz\right)^{-3} ni kengaytirish.

$$\frac{y^{-4}}{9x^{2}x^{-3}z^{-3}}$$

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

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