(2a*3b^2)^2*c*(2bc^3)^3 eching

$$(2a \cdot 3b^2)^2 \cdot c \cdot (2bc^3)^3$$

Baholash

$$288a^{2}b^{7}c^{10}$$

Yechim qadamlari

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\left(6ab^{2}\right)^{2}c\times \left(2bc^{3}\right)^{3}$$

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

$$6^{2}a^{2}\left(b^{2}\right)^{2}c\times \left(2bc^{3}\right)^{3}$$

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

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

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

$$36a^{2}b^{4}c\times \left(2bc^{3}\right)^{3}$$

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

$$36a^{2}b^{4}c\times 2^{3}b^{3}\left(c^{3}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$36a^{2}b^{4}c\times 2^{3}b^{3}c^{9}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$36a^{2}b^{4}c\times 8b^{3}c^{9}$$

288 hosil qilish uchun 36 va 8 ni ko'paytirish.

$$288a^{2}b^{4}cb^{3}c^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 3 ni qo‘shib, 7 ni oling.

$$288a^{2}b^{7}cc^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 9 ni qo‘shib, 10 ni oling.

$$288a^{2}b^{7}c^{10}$$

Kengaytirish

$$288a^{2}b^{7}c^{10}$$

Yechim qadamlari

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\left(6ab^{2}\right)^{2}c\times \left(2bc^{3}\right)^{3}$$

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

$$6^{2}a^{2}\left(b^{2}\right)^{2}c\times \left(2bc^{3}\right)^{3}$$

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

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

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

$$36a^{2}b^{4}c\times \left(2bc^{3}\right)^{3}$$

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

$$36a^{2}b^{4}c\times 2^{3}b^{3}\left(c^{3}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$36a^{2}b^{4}c\times 2^{3}b^{3}c^{9}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$36a^{2}b^{4}c\times 8b^{3}c^{9}$$

288 hosil qilish uchun 36 va 8 ni ko'paytirish.

$$288a^{2}b^{4}cb^{3}c^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 3 ni qo‘shib, 7 ni oling.

$$288a^{2}b^{7}cc^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 9 ni qo‘shib, 10 ni oling.

$$288a^{2}b^{7}c^{10}$$