(-x^{2}y^4)^2(3xy^3z^2) eching

$$( - x ^ { 2 } y ^ { 4 } ) ^ { 2 } ( 3 x y ^ { 3 } z ^ { 2 } )$$

Baholash

$$3z^{2}x^{5}y^{11}$$

Yechim qadamlari

\left(\left(-x^{2}\right)y^{4}\right)^{2} ni kengaytirish.

$$\left(-x^{2}\right)^{2}\left(y^{4}\right)^{2}\times 3xy^{3}z^{2}$$

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

$$\left(-x^{2}\right)^{2}y^{8}\times 3xy^{3}z^{2}$$

2 daraja ko‘rsatkichini -x^{2} ga hisoblang va \left(x^{2}\right)^{2} ni qiymatni oling.

$$\left(x^{2}\right)^{2}y^{8}\times 3xy^{3}z^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 3 ni qo‘shib, 11 ni oling.

$$\left(x^{2}\right)^{2}y^{11}\times 3xz^{2}$$

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

$$x^{4}y^{11}\times 3xz^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$x^{5}y^{11}\times 3z^{2}$$

Kengaytirish

$$3z^{2}x^{5}y^{11}$$

Yechim qadamlari

\left(\left(-x^{2}\right)y^{4}\right)^{2} ni kengaytirish.

$$\left(-x^{2}\right)^{2}\left(y^{4}\right)^{2}\times 3xy^{3}z^{2}$$

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

$$\left(-x^{2}\right)^{2}y^{8}\times 3xy^{3}z^{2}$$

2 daraja ko‘rsatkichini -x^{2} ga hisoblang va \left(x^{2}\right)^{2} ni qiymatni oling.

$$\left(x^{2}\right)^{2}y^{8}\times 3xy^{3}z^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 3 ni qo‘shib, 11 ni oling.

$$\left(x^{2}\right)^{2}y^{11}\times 3xz^{2}$$

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

$$x^{4}y^{11}\times 3xz^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$x^{5}y^{11}\times 3z^{2}$$