(2m^{frac{1/3}n^{1/6})^{0}}{(2m^-2n^6)^-1(2mn)^5} eching

$$\frac { ( 2 m ^ { \frac { 1 } { 3 } } n ^ { \frac { 1 } { 6 } } ) ^ { 0 } } { ( 2 m ^ { - 2 } n ^ { 6 } ) ^ { - 1 } ( 2 m n ) ^ { 5 } }$$

Baholash

$$\frac{n}{16m^{7}}$$

Yechim qadamlari

0 daraja ko‘rsatkichini 2m^{\frac{1}{3}}n^{\frac{1}{6}} ga hisoblang va 1 ni qiymatni oling.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$$\frac{1}{16m^{2}n^{-6}m^{5}n^{5}}$$

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

$$\frac{1}{16m^{7}n^{-6}n^{5}}$$

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

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

m ga nisbatan hosilani topish

$$-\frac{7n}{16m^{8}}$$