(2x^{3}y^2)^3(3x^2y)^2 eching

$$( 2 x ^ { 3 } y ^ { 2 } ) ^ { 3 } ( 3 x ^ { 2 } y ) ^ { 2 }$$

Baholash

$$72y^{8}x^{13}$$

Yechim qadamlari

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

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

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

$$2^{3}x^{9}\left(y^{2}\right)^{3}\times \left(3x^{2}y\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$2^{3}x^{9}y^{6}\times \left(3x^{2}y\right)^{2}$$

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

$$8x^{9}y^{6}\times \left(3x^{2}y\right)^{2}$$

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

$$8x^{9}y^{6}\times 3^{2}\left(x^{2}\right)^{2}y^{2}$$

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

$$8x^{9}y^{6}\times 3^{2}x^{4}y^{2}$$

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

$$8x^{9}y^{6}\times 9x^{4}y^{2}$$

72 hosil qilish uchun 8 va 9 ni ko'paytirish.

$$72x^{9}y^{6}x^{4}y^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 4 ni qo‘shib, 13 ni oling.

$$72x^{13}y^{6}y^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.

$$72x^{13}y^{8}$$

Kengaytirish

$$72y^{8}x^{13}$$

Yechim qadamlari

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

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

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

$$2^{3}x^{9}\left(y^{2}\right)^{3}\times \left(3x^{2}y\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$2^{3}x^{9}y^{6}\times \left(3x^{2}y\right)^{2}$$

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

$$8x^{9}y^{6}\times \left(3x^{2}y\right)^{2}$$

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

$$8x^{9}y^{6}\times 3^{2}\left(x^{2}\right)^{2}y^{2}$$

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

$$8x^{9}y^{6}\times 3^{2}x^{4}y^{2}$$

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

$$8x^{9}y^{6}\times 9x^{4}y^{2}$$

72 hosil qilish uchun 8 va 9 ni ko'paytirish.

$$72x^{9}y^{6}x^{4}y^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 4 ni qo‘shib, 13 ni oling.

$$72x^{13}y^{6}y^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.

$$72x^{13}y^{8}$$