[y^2(3y^2)^2]^2 eching

$$[ y ^ { 2 } ( 3 y ^ { 2 } ) ^ { 2 } ] ^ { 2 }$$

Baholash

$$81y^{12}$$

Yechim qadamlari

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

$$\left(y^{2}\times 3^{2}\left(y^{2}\right)^{2}\right)^{2}$$

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

$$\left(y^{2}\times 3^{2}y^{4}\right)^{2}$$

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

$$\left(y^{2}\times 9y^{4}\right)^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$\left(y^{6}\times 9\right)^{2}$$

\left(y^{6}\times 9\right)^{2} ni kengaytirish.

$$\left(y^{6}\right)^{2}\times 9^{2}$$

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

$$y^{12}\times 9^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$y^{12}\times 81$$

Kengaytirish

$$81y^{12}$$

Yechim qadamlari

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

$$\left(y^{2}\times 3^{2}\left(y^{2}\right)^{2}\right)^{2}$$

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

$$\left(y^{2}\times 3^{2}y^{4}\right)^{2}$$

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

$$\left(y^{2}\times 9y^{4}\right)^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 4 ni qo‘shib, 6 ni oling.

$$\left(y^{6}\times 9\right)^{2}$$

\left(y^{6}\times 9\right)^{2} ni kengaytirish.

$$\left(y^{6}\right)^{2}\times 9^{2}$$

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

$$y^{12}\times 9^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$y^{12}\times 81$$