(2m^4/3m^6n^3)^3 eching

$$( \frac { 2 m ^ { 4 } } { 3 m ^ { 6 } n ^ { 3 } } ) ^ { 3 }$$

Baholash

$$\frac{8}{27m^{6}n^{9}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala m^{4} ni qisqartiring.

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

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

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8}{\left(3m^{2}n^{3}\right)^{3}}$$

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

$$\frac{8}{3^{3}\left(m^{2}\right)^{3}\left(n^{3}\right)^{3}}$$

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

$$\frac{8}{3^{3}m^{6}\left(n^{3}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{8}{3^{3}m^{6}n^{9}}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\frac{8}{27m^{6}n^{9}}$$

Kengaytirish

$$\frac{8}{27m^{6}n^{9}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala m^{4} ni qisqartiring.

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

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

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8}{\left(3m^{2}n^{3}\right)^{3}}$$

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

$$\frac{8}{3^{3}\left(m^{2}\right)^{3}\left(n^{3}\right)^{3}}$$

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

$$\frac{8}{3^{3}m^{6}\left(n^{3}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{8}{3^{3}m^{6}n^{9}}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\frac{8}{27m^{6}n^{9}}$$