frac{(2m^{-3}n^{2}p^{4})^-2}{6m^4n^-5p^3} eching

$$\frac { ( 2 m ^ { - 3 } n ^ { 2 } p ^ { 4 } ) ^ { - 2 } } { 6 m ^ { 4 } n ^ { - 5 } p ^ { 3 } }$$

Baholash

$$\frac{nm^{2}}{24p^{11}}$$

Yechim qadamlari

\left(2m^{-3}n^{2}p^{4}\right)^{-2} ni kengaytirish.

$$\frac{2^{-2}\left(m^{-3}\right)^{-2}\left(n^{2}\right)^{-2}\left(p^{4}\right)^{-2}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{2^{-2}m^{6}\left(n^{2}\right)^{-2}\left(p^{4}\right)^{-2}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{2^{-2}m^{6}n^{-4}\left(p^{4}\right)^{-2}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{2^{-2}m^{6}n^{-4}p^{-8}}{6m^{4}n^{-5}p^{3}}$$

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\frac{1}{4}m^{6}n^{-4}p^{-8}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{\frac{1}{4}p^{-8}n^{-4}m^{2}}{6n^{-5}p^{3}}$$

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

$$\frac{\frac{1}{4}p^{-8}n^{1}m^{2}}{6p^{3}}$$

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

$$\frac{\frac{1}{4}n^{1}m^{2}}{6p^{11}}$$

1 daraja ko‘rsatkichini n ga hisoblang va n ni qiymatni oling.

$$\frac{\frac{1}{4}nm^{2}}{6p^{11}}$$

Kengaytirish

$$\frac{nm^{2}}{24p^{11}}$$

Yechim qadamlari

\left(2m^{-3}n^{2}p^{4}\right)^{-2} ni kengaytirish.

$$\frac{2^{-2}\left(m^{-3}\right)^{-2}\left(n^{2}\right)^{-2}\left(p^{4}\right)^{-2}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{2^{-2}m^{6}\left(n^{2}\right)^{-2}\left(p^{4}\right)^{-2}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{2^{-2}m^{6}n^{-4}\left(p^{4}\right)^{-2}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{2^{-2}m^{6}n^{-4}p^{-8}}{6m^{4}n^{-5}p^{3}}$$

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\frac{1}{4}m^{6}n^{-4}p^{-8}}{6m^{4}n^{-5}p^{3}}$$

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

$$\frac{\frac{1}{4}p^{-8}n^{-4}m^{2}}{6n^{-5}p^{3}}$$

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

$$\frac{\frac{1}{4}p^{-8}n^{1}m^{2}}{6p^{3}}$$

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

$$\frac{\frac{1}{4}n^{1}m^{2}}{6p^{11}}$$

1 daraja ko‘rsatkichini n ga hisoblang va n ni qiymatni oling.

$$\frac{\frac{1}{4}nm^{2}}{6p^{11}}$$