(frac{3m^{3}n^3p^3}{2p^3})^2 eching

$$( \frac { 3 m ^ { 3 } n ^ { 3 } p ^ { 3 } } { 2 p ^ { 3 } } ) ^ { 2 }$$

Baholash

$$\frac{9\left(mn\right)^{6}}{4}$$

Yechim qadamlari

Surat va maxrajdagi ikkala p^{3} ni qisqartiring.

$$\left(\frac{3m^{3}n^{3}}{2}\right)^{2}$$

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

$$\frac{\left(3m^{3}n^{3}\right)^{2}}{2^{2}}$$

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

$$\frac{3^{2}\left(m^{3}\right)^{2}\left(n^{3}\right)^{2}}{2^{2}}$$

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

$$\frac{3^{2}m^{6}\left(n^{3}\right)^{2}}{2^{2}}$$

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

$$\frac{3^{2}m^{6}n^{6}}{2^{2}}$$

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

$$\frac{9m^{6}n^{6}}{2^{2}}$$

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

$$\frac{9m^{6}n^{6}}{4}$$

Kengaytirish

$$\frac{9\left(mn\right)^{6}}{4}$$

Yechim qadamlari

Surat va maxrajdagi ikkala p^{3} ni qisqartiring.

$$\left(\frac{3m^{3}n^{3}}{2}\right)^{2}$$

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

$$\frac{\left(3m^{3}n^{3}\right)^{2}}{2^{2}}$$

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

$$\frac{3^{2}\left(m^{3}\right)^{2}\left(n^{3}\right)^{2}}{2^{2}}$$

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

$$\frac{3^{2}m^{6}\left(n^{3}\right)^{2}}{2^{2}}$$

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

$$\frac{3^{2}m^{6}n^{6}}{2^{2}}$$

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

$$\frac{9m^{6}n^{6}}{2^{2}}$$

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

$$\frac{9m^{6}n^{6}}{4}$$