(3uv^2)(6u^2v^3)^2= eching

$$( 3 u v ^ { 2 } ) ( 6 u ^ { 2 } v ^ { 3 } ) ^ { 2 } =$$

Baholash

$$108u^{5}v^{8}$$

Yechim qadamlari

\left(6u^{2}v^{3}\right)^{2} ni kengaytirish.

$$3uv^{2}\times 6^{2}\left(u^{2}\right)^{2}\left(v^{3}\right)^{2}$$

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

$$3uv^{2}\times 6^{2}u^{4}\left(v^{3}\right)^{2}$$

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

$$3uv^{2}\times 6^{2}u^{4}v^{6}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$3uv^{2}\times 36u^{4}v^{6}$$

108 hosil qilish uchun 3 va 36 ni ko'paytirish.

$$108uv^{2}u^{4}v^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 4 ni qo‘shib, 5 ni oling.

$$108u^{5}v^{2}v^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 6 ni qo‘shib, 8 ni oling.

$$108u^{5}v^{8}$$

Kengaytirish

$$108u^{5}v^{8}$$

Yechim qadamlari

\left(6u^{2}v^{3}\right)^{2} ni kengaytirish.

$$3uv^{2}\times 6^{2}\left(u^{2}\right)^{2}\left(v^{3}\right)^{2}$$

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

$$3uv^{2}\times 6^{2}u^{4}\left(v^{3}\right)^{2}$$

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

$$3uv^{2}\times 6^{2}u^{4}v^{6}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$3uv^{2}\times 36u^{4}v^{6}$$

108 hosil qilish uchun 3 va 36 ni ko'paytirish.

$$108uv^{2}u^{4}v^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 4 ni qo‘shib, 5 ni oling.

$$108u^{5}v^{2}v^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 6 ni qo‘shib, 8 ni oling.

$$108u^{5}v^{8}$$