frac{(frac{x^{2}y}{z})^3*(z/x^3)}{(y)^13*(x)^2} eching

$$\frac { ( \frac { x ^ { 2 } y } { z } ) ^ { 3 } \cdot ( \frac { z } { x ^ { 3 } } ) } { ( y ) ^ { 13 } \cdot ( x ) ^ { 2 } }$$

Baholash

$$\frac{x}{z^{2}y^{10}}$$

Yechim qadamlari

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

$$\frac{\frac{\left(x^{2}y\right)^{3}}{z^{3}}\times \frac{z}{x^{3}}}{y^{13}x^{2}}$$

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

$$\frac{\frac{\left(x^{2}y\right)^{3}z}{z^{3}x^{3}}}{y^{13}x^{2}}$$

Surat va maxrajdagi ikkala z ni qisqartiring.

$$\frac{\frac{\left(yx^{2}\right)^{3}}{z^{2}x^{3}}}{y^{13}x^{2}}$$

\frac{\frac{\left(yx^{2}\right)^{3}}{z^{2}x^{3}}}{y^{13}x^{2}} ni yagona kasrga aylantiring.

$$\frac{\left(yx^{2}\right)^{3}}{z^{2}x^{3}y^{13}x^{2}}$$

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

$$\frac{y^{3}\left(x^{2}\right)^{3}}{z^{2}x^{3}y^{13}x^{2}}$$

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

$$\frac{y^{3}x^{6}}{z^{2}x^{3}y^{13}x^{2}}$$

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

$$\frac{y^{3}x^{6}}{z^{2}x^{5}y^{13}}$$

Surat va maxrajdagi ikkala y^{3}x^{5} ni qisqartiring.

$$\frac{x}{z^{2}y^{10}}$$

Kengaytirish

$$\frac{x}{z^{2}y^{10}}$$

Yechim qadamlari

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

$$\frac{\frac{\left(x^{2}y\right)^{3}}{z^{3}}\times \frac{z}{x^{3}}}{y^{13}x^{2}}$$

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

$$\frac{\frac{\left(x^{2}y\right)^{3}z}{z^{3}x^{3}}}{y^{13}x^{2}}$$

Surat va maxrajdagi ikkala z ni qisqartiring.

$$\frac{\frac{\left(yx^{2}\right)^{3}}{z^{2}x^{3}}}{y^{13}x^{2}}$$

\frac{\frac{\left(yx^{2}\right)^{3}}{z^{2}x^{3}}}{y^{13}x^{2}} ni yagona kasrga aylantiring.

$$\frac{\left(yx^{2}\right)^{3}}{z^{2}x^{3}y^{13}x^{2}}$$

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

$$\frac{y^{3}\left(x^{2}\right)^{3}}{z^{2}x^{3}y^{13}x^{2}}$$

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

$$\frac{y^{3}x^{6}}{z^{2}x^{3}y^{13}x^{2}}$$

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

$$\frac{y^{3}x^{6}}{z^{2}x^{5}y^{13}}$$

Surat va maxrajdagi ikkala y^{3}x^{5} ni qisqartiring.

$$\frac{x}{z^{2}y^{10}}$$