3x^5y(4xy^7)^3 eching

$$3 x ^ { 5 } y ( 4 x y ^ { 7 } ) ^ { 3 }$$

Baholash

$$192x^{8}y^{22}$$

Yechim qadamlari

\left(4xy^{7}\right)^{3} ni kengaytirish.

$$3x^{5}y\times 4^{3}x^{3}\left(y^{7}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va 3 ni ko‘paytirib, 21 ni oling.

$$3x^{5}y\times 4^{3}x^{3}y^{21}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$3x^{5}y\times 64x^{3}y^{21}$$

192 hosil qilish uchun 3 va 64 ni ko'paytirish.

$$192x^{5}yx^{3}y^{21}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 3 ni qo‘shib, 8 ni oling.

$$192x^{8}yy^{21}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 21 ni qo‘shib, 22 ni oling.

$$192x^{8}y^{22}$$

Kengaytirish

$$192x^{8}y^{22}$$

Yechim qadamlari

\left(4xy^{7}\right)^{3} ni kengaytirish.

$$3x^{5}y\times 4^{3}x^{3}\left(y^{7}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va 3 ni ko‘paytirib, 21 ni oling.

$$3x^{5}y\times 4^{3}x^{3}y^{21}$$

3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.

$$3x^{5}y\times 64x^{3}y^{21}$$

192 hosil qilish uchun 3 va 64 ni ko'paytirish.

$$192x^{5}yx^{3}y^{21}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 3 ni qo‘shib, 8 ni oling.

$$192x^{8}yy^{21}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 21 ni qo‘shib, 22 ni oling.

$$192x^{8}y^{22}$$