(2cd^4)^2(cd)^5= eching

$$( 2 c d ^ { 4 } ) ^ { 2 } ( c d ) ^ { 5 } =$$

Baholash

$$4c^{7}d^{13}$$

Yechim qadamlari

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

$$2^{2}c^{2}\left(d^{4}\right)^{2}\left(cd\right)^{5}$$

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

$$2^{2}c^{2}d^{8}\left(cd\right)^{5}$$

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

$$4c^{2}d^{8}\left(cd\right)^{5}$$

\left(cd\right)^{5} ni kengaytirish.

$$4c^{2}d^{8}c^{5}d^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$4c^{7}d^{8}d^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 5 ni qo‘shib, 13 ni oling.

$$4c^{7}d^{13}$$

Kengaytirish

$$4c^{7}d^{13}$$

Yechim qadamlari

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

$$2^{2}c^{2}\left(d^{4}\right)^{2}\left(cd\right)^{5}$$

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

$$2^{2}c^{2}d^{8}\left(cd\right)^{5}$$

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

$$4c^{2}d^{8}\left(cd\right)^{5}$$

\left(cd\right)^{5} ni kengaytirish.

$$4c^{2}d^{8}c^{5}d^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 5 ni qo‘shib, 7 ni oling.

$$4c^{7}d^{8}d^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 5 ni qo‘shib, 13 ni oling.

$$4c^{7}d^{13}$$