{left(12x^3y^4/9z^5right)}^2 eching

$${ \left( \frac{ 12 { x }^{ 3 } { y }^{ 4 } }{ 9 { z }^{ 5 } } \right) }^{ 2 }$$

Baholash

$$\frac{16x^{6}y^{8}}{9z^{10}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\left(\frac{4x^{3}y^{4}}{3z^{5}}\right)^{2}$$

\frac{4x^{3}y^{4}}{3z^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(4x^{3}y^{4}\right)^{2}}{\left(3z^{5}\right)^{2}}$$

\left(4x^{3}y^{4}\right)^{2} ni kengaytirish.

$$\frac{4^{2}\left(x^{3}\right)^{2}\left(y^{4}\right)^{2}}{\left(3z^{5}\right)^{2}}$$

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

$$\frac{4^{2}x^{6}\left(y^{4}\right)^{2}}{\left(3z^{5}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$\frac{4^{2}x^{6}y^{8}}{\left(3z^{5}\right)^{2}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{16x^{6}y^{8}}{\left(3z^{5}\right)^{2}}$$

\left(3z^{5}\right)^{2} ni kengaytirish.

$$\frac{16x^{6}y^{8}}{3^{2}\left(z^{5}\right)^{2}}$$

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

$$\frac{16x^{6}y^{8}}{3^{2}z^{10}}$$

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

$$\frac{16x^{6}y^{8}}{9z^{10}}$$

Kengaytirish

$$\frac{16x^{6}y^{8}}{9z^{10}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\left(\frac{4x^{3}y^{4}}{3z^{5}}\right)^{2}$$

\frac{4x^{3}y^{4}}{3z^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(4x^{3}y^{4}\right)^{2}}{\left(3z^{5}\right)^{2}}$$

\left(4x^{3}y^{4}\right)^{2} ni kengaytirish.

$$\frac{4^{2}\left(x^{3}\right)^{2}\left(y^{4}\right)^{2}}{\left(3z^{5}\right)^{2}}$$

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

$$\frac{4^{2}x^{6}\left(y^{4}\right)^{2}}{\left(3z^{5}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$\frac{4^{2}x^{6}y^{8}}{\left(3z^{5}\right)^{2}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{16x^{6}y^{8}}{\left(3z^{5}\right)^{2}}$$

\left(3z^{5}\right)^{2} ni kengaytirish.

$$\frac{16x^{6}y^{8}}{3^{2}\left(z^{5}\right)^{2}}$$

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

$$\frac{16x^{6}y^{8}}{3^{2}z^{10}}$$

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

$$\frac{16x^{6}y^{8}}{9z^{10}}$$