(8mn^2/m^-3n)^-2*(n^5z/4m) eching

$$( \frac { 8 m n ^ { 2 } } { m ^ { - 3 } n } ) ^ { - 2 } \cdot ( \frac { n ^ { 5 } z } { 4 m } )$$

Baholash

$$\frac{zn^{3}}{256m^{9}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala n ni qisqartiring.

$$\left(\frac{8mn}{m^{-3}}\right)^{-2}\times \frac{n^{5}z}{4m}$$

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

$$\left(8nm^{4}\right)^{-2}\times \frac{n^{5}z}{4m}$$

\left(8nm^{4}\right)^{-2} ni kengaytirish.

$$8^{-2}n^{-2}\left(m^{4}\right)^{-2}\times \frac{n^{5}z}{4m}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$8^{-2}n^{-2}m^{-8}\times \frac{n^{5}z}{4m}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{1}{64}n^{-2}m^{-8}\times \frac{n^{5}z}{4m}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{64} ni \frac{n^{5}z}{4m} ga ko‘paytiring.

$$\frac{n^{5}z}{64\times 4m}n^{-2}m^{-8}$$

256 hosil qilish uchun 64 va 4 ni ko'paytirish.

$$\frac{n^{5}z}{256m}n^{-2}m^{-8}$$

\frac{n^{5}z}{256m}n^{-2} ni yagona kasrga aylantiring.

$$\frac{n^{5}zn^{-2}}{256m}m^{-8}$$

\frac{n^{5}zn^{-2}}{256m}m^{-8} ni yagona kasrga aylantiring.

$$\frac{n^{5}zn^{-2}m^{-8}}{256m}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{n^{-2}zn^{5}}{256m^{9}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 5 ni qo‘shib, 3 ni oling.

$$\frac{n^{3}z}{256m^{9}}$$

Kengaytirish

$$\frac{zn^{3}}{256m^{9}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala n ni qisqartiring.

$$\left(\frac{8mn}{m^{-3}}\right)^{-2}\times \frac{n^{5}z}{4m}$$

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

$$\left(8nm^{4}\right)^{-2}\times \frac{n^{5}z}{4m}$$

\left(8nm^{4}\right)^{-2} ni kengaytirish.

$$8^{-2}n^{-2}\left(m^{4}\right)^{-2}\times \frac{n^{5}z}{4m}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -2 ni ko‘paytirib, -8 ni oling.

$$8^{-2}n^{-2}m^{-8}\times \frac{n^{5}z}{4m}$$

-2 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$\frac{1}{64}n^{-2}m^{-8}\times \frac{n^{5}z}{4m}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{64} ni \frac{n^{5}z}{4m} ga ko‘paytiring.

$$\frac{n^{5}z}{64\times 4m}n^{-2}m^{-8}$$

256 hosil qilish uchun 64 va 4 ni ko'paytirish.

$$\frac{n^{5}z}{256m}n^{-2}m^{-8}$$

\frac{n^{5}z}{256m}n^{-2} ni yagona kasrga aylantiring.

$$\frac{n^{5}zn^{-2}}{256m}m^{-8}$$

\frac{n^{5}zn^{-2}}{256m}m^{-8} ni yagona kasrga aylantiring.

$$\frac{n^{5}zn^{-2}m^{-8}}{256m}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{n^{-2}zn^{5}}{256m^{9}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 5 ni qo‘shib, 3 ni oling.

$$\frac{n^{3}z}{256m^{9}}$$