frac{-4q^{5}}{(2q^2r^2)^4(-7q^6)} eching

$$\frac { - 4 q ^ { 5 } } { ( 2 q ^ { 2 } r ^ { 2 } ) ^ { 4 } ( - 7 q ^ { 6 } ) }$$

Baholash

$$\frac{1}{28r^{8}q^{9}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala q^{5} ni qisqartiring.

$$\frac{-4}{-7q\times \left(2q^{2}r^{2}\right)^{4}}$$

\left(2q^{2}r^{2}\right)^{4} ni kengaytirish.

$$\frac{-4}{-7q\times 2^{4}\left(q^{2}\right)^{4}\left(r^{2}\right)^{4}}$$

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

$$\frac{-4}{-7q\times 2^{4}q^{8}\left(r^{2}\right)^{4}}$$

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

$$\frac{-4}{-7q\times 2^{4}q^{8}r^{8}}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{-4}{-7q\times 16q^{8}r^{8}}$$

-112 hosil qilish uchun -7 va 16 ni ko'paytirish.

$$\frac{-4}{-112qq^{8}r^{8}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 8 ni qo‘shib, 9 ni oling.

$$\frac{-4}{-112q^{9}r^{8}}$$

Kengaytirish

$$\frac{1}{28r^{8}q^{9}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala q^{5} ni qisqartiring.

$$\frac{-4}{-7q\times \left(2q^{2}r^{2}\right)^{4}}$$

\left(2q^{2}r^{2}\right)^{4} ni kengaytirish.

$$\frac{-4}{-7q\times 2^{4}\left(q^{2}\right)^{4}\left(r^{2}\right)^{4}}$$

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

$$\frac{-4}{-7q\times 2^{4}q^{8}\left(r^{2}\right)^{4}}$$

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

$$\frac{-4}{-7q\times 2^{4}q^{8}r^{8}}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{-4}{-7q\times 16q^{8}r^{8}}$$

-112 hosil qilish uchun -7 va 16 ni ko'paytirish.

$$\frac{-4}{-112qq^{8}r^{8}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 8 ni qo‘shib, 9 ni oling.

$$\frac{-4}{-112q^{9}r^{8}}$$