(4a^7b)^2*(3ab^6)^2 eching

$$( 4 a ^ { 7 } b ) ^ { 2 } \times ( 3 a b ^ { 6 } ) ^ { 2 }$$

Baholash

$$144b^{14}a^{16}$$

Yechim qadamlari

\left(4a^{7}b\right)^{2} ni kengaytirish.

$$4^{2}\left(a^{7}\right)^{2}b^{2}\times \left(3ab^{6}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va 2 ni ko‘paytirib, 14 ni oling.

$$4^{2}a^{14}b^{2}\times \left(3ab^{6}\right)^{2}$$

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

$$16a^{14}b^{2}\times \left(3ab^{6}\right)^{2}$$

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

$$16a^{14}b^{2}\times 3^{2}a^{2}\left(b^{6}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 2 ni ko‘paytirib, 12 ni oling.

$$16a^{14}b^{2}\times 3^{2}a^{2}b^{12}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$16a^{14}b^{2}\times 9a^{2}b^{12}$$

144 hosil qilish uchun 16 va 9 ni ko'paytirish.

$$144a^{14}b^{2}a^{2}b^{12}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 14 va 2 ni qo‘shib, 16 ni oling.

$$144a^{16}b^{2}b^{12}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 12 ni qo‘shib, 14 ni oling.

$$144a^{16}b^{14}$$

Kengaytirish

$$144b^{14}a^{16}$$

Yechim qadamlari

\left(4a^{7}b\right)^{2} ni kengaytirish.

$$4^{2}\left(a^{7}\right)^{2}b^{2}\times \left(3ab^{6}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va 2 ni ko‘paytirib, 14 ni oling.

$$4^{2}a^{14}b^{2}\times \left(3ab^{6}\right)^{2}$$

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

$$16a^{14}b^{2}\times \left(3ab^{6}\right)^{2}$$

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

$$16a^{14}b^{2}\times 3^{2}a^{2}\left(b^{6}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 2 ni ko‘paytirib, 12 ni oling.

$$16a^{14}b^{2}\times 3^{2}a^{2}b^{12}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$16a^{14}b^{2}\times 9a^{2}b^{12}$$

144 hosil qilish uchun 16 va 9 ni ko'paytirish.

$$144a^{14}b^{2}a^{2}b^{12}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 14 va 2 ni qo‘shib, 16 ni oling.

$$144a^{16}b^{2}b^{12}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 12 ni qo‘shib, 14 ni oling.

$$144a^{16}b^{14}$$