(2m^{frac{1/3}n^{5/6})^{6}}{(2m^-2n^6)^-1(2mn)^5} eching

$$\frac { ( 2 m ^ { \frac { 1 } { 3 } } n ^ { \frac { 5 } { 6 } } ) ^ { 6 } } { ( 2 m ^ { - 2 } n ^ { 6 } ) ^ { - 1 } ( 2 m n ) ^ { 5 } }$$

Baholash

$$\frac{4n^{6}}{m^{5}}$$

Yechim qadamlari

\left(2m^{\frac{1}{3}}n^{\frac{5}{6}}\right)^{6} ni kengaytirish.

$$\frac{2^{6}\left(m^{\frac{1}{3}}\right)^{6}\left(n^{\frac{5}{6}}\right)^{6}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{3} va 6 ni ko‘paytirib, 2 ni oling.

$$\frac{2^{6}m^{2}\left(n^{\frac{5}{6}}\right)^{6}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{5}{6} va 6 ni ko‘paytirib, 5 ni oling.

$$\frac{2^{6}m^{2}n^{5}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

6 daraja ko‘rsatkichini 2 ga hisoblang va 64 ni qiymatni oling.

$$\frac{64m^{2}n^{5}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

\left(2m^{-2}n^{6}\right)^{-1} ni kengaytirish.

$$\frac{64m^{2}n^{5}}{2^{-1}\left(m^{-2}\right)^{-1}\left(n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -1 ni ko‘paytirib, 2 ni oling.

$$\frac{64m^{2}n^{5}}{2^{-1}m^{2}\left(n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -1 ni ko‘paytirib, -6 ni oling.

$$\frac{64m^{2}n^{5}}{2^{-1}m^{2}n^{-6}\times \left(2mn\right)^{5}}$$

-1 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{2} ni qiymatni oling.

$$\frac{64m^{2}n^{5}}{\frac{1}{2}m^{2}n^{-6}\times \left(2mn\right)^{5}}$$

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

$$\frac{64m^{2}n^{5}}{\frac{1}{2}m^{2}n^{-6}\times 2^{5}m^{5}n^{5}}$$

5 daraja ko‘rsatkichini 2 ga hisoblang va 32 ni qiymatni oling.

$$\frac{64m^{2}n^{5}}{\frac{1}{2}m^{2}n^{-6}\times 32m^{5}n^{5}}$$

16 hosil qilish uchun \frac{1}{2} va 32 ni ko'paytirish.

$$\frac{64m^{2}n^{5}}{16m^{2}n^{-6}m^{5}n^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$\frac{64m^{2}n^{5}}{16m^{7}n^{-6}n^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va 5 ni qo‘shib, -1 ni oling.

$$\frac{64m^{2}n^{5}}{16m^{7}n^{-1}}$$

Surat va maxrajdagi ikkala 16m^{2} ni qisqartiring.

$$\frac{4n^{5}}{\frac{1}{n}m^{5}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{4n^{6}}{m^{5}}$$

Kengaytirish

$$\frac{4n^{6}}{m^{5}}$$

Yechim qadamlari

\left(2m^{\frac{1}{3}}n^{\frac{5}{6}}\right)^{6} ni kengaytirish.

$$\frac{2^{6}\left(m^{\frac{1}{3}}\right)^{6}\left(n^{\frac{5}{6}}\right)^{6}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{3} va 6 ni ko‘paytirib, 2 ni oling.

$$\frac{2^{6}m^{2}\left(n^{\frac{5}{6}}\right)^{6}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{5}{6} va 6 ni ko‘paytirib, 5 ni oling.

$$\frac{2^{6}m^{2}n^{5}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

6 daraja ko‘rsatkichini 2 ga hisoblang va 64 ni qiymatni oling.

$$\frac{64m^{2}n^{5}}{\left(2m^{-2}n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

\left(2m^{-2}n^{6}\right)^{-1} ni kengaytirish.

$$\frac{64m^{2}n^{5}}{2^{-1}\left(m^{-2}\right)^{-1}\left(n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -1 ni ko‘paytirib, 2 ni oling.

$$\frac{64m^{2}n^{5}}{2^{-1}m^{2}\left(n^{6}\right)^{-1}\times \left(2mn\right)^{5}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -1 ni ko‘paytirib, -6 ni oling.

$$\frac{64m^{2}n^{5}}{2^{-1}m^{2}n^{-6}\times \left(2mn\right)^{5}}$$

-1 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{2} ni qiymatni oling.

$$\frac{64m^{2}n^{5}}{\frac{1}{2}m^{2}n^{-6}\times \left(2mn\right)^{5}}$$

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

$$\frac{64m^{2}n^{5}}{\frac{1}{2}m^{2}n^{-6}\times 2^{5}m^{5}n^{5}}$$

5 daraja ko‘rsatkichini 2 ga hisoblang va 32 ni qiymatni oling.

$$\frac{64m^{2}n^{5}}{\frac{1}{2}m^{2}n^{-6}\times 32m^{5}n^{5}}$$

16 hosil qilish uchun \frac{1}{2} va 32 ni ko'paytirish.

$$\frac{64m^{2}n^{5}}{16m^{2}n^{-6}m^{5}n^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$\frac{64m^{2}n^{5}}{16m^{7}n^{-6}n^{5}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va 5 ni qo‘shib, -1 ni oling.

$$\frac{64m^{2}n^{5}}{16m^{7}n^{-1}}$$

Surat va maxrajdagi ikkala 16m^{2} ni qisqartiring.

$$\frac{4n^{5}}{\frac{1}{n}m^{5}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{4n^{6}}{m^{5}}$$