(frac{m^{5}n^4}{m^7n^2})^3 eching

$$( \frac { m ^ { 5 } n ^ { 4 } } { m ^ { 7 } n ^ { 2 } } ) ^ { 3 }$$

Baholash

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

Yechim qadamlari

Surat va maxrajdagi ikkala n^{2}m^{5} ni qisqartiring.

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

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

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

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

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

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

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

Kengaytirish

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

Yechim qadamlari

Surat va maxrajdagi ikkala n^{2}m^{5} ni qisqartiring.

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

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

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

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

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

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

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