{left(2x^6y^4/5x^7yright)}^2 eching

$${ \left( \frac{ 2 { x }^{ 6 } { y }^{ 4 } }{ 5 { x }^{ 7 } y } \right) }^{ 2 }$$

Baholash

$$\frac{4y^{6}}{25x^{2}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala yx^{6} ni qisqartiring.

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

\frac{2y^{3}}{5x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

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

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

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

$$\frac{4y^{6}}{5^{2}x^{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{4y^{6}}{25x^{2}}$$

Kengaytirish

$$\frac{4y^{6}}{25x^{2}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala yx^{6} ni qisqartiring.

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

\frac{2y^{3}}{5x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

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

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

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

$$\frac{4y^{6}}{5^{2}x^{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{4y^{6}}{25x^{2}}$$