(-3x^3z)^4(2x^2y^2)3 eching

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

Baholash

$$486y^{2}z^{4}x^{14}$$

Yechim qadamlari

\left(-3x^{3}z\right)^{4} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.

$$\left(-3\right)^{4}x^{12}z^{4}\times 2x^{2}y^{2}\times 3$$

4 daraja ko‘rsatkichini -3 ga hisoblang va 81 ni qiymatni oling.

$$81x^{12}z^{4}\times 2x^{2}y^{2}\times 3$$

162 hosil qilish uchun 81 va 2 ni ko'paytirish.

$$162x^{12}z^{4}x^{2}y^{2}\times 3$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 2 ni qo‘shib, 14 ni oling.

$$162x^{14}z^{4}y^{2}\times 3$$

486 hosil qilish uchun 162 va 3 ni ko'paytirish.

$$486x^{14}z^{4}y^{2}$$

Kengaytirish

$$486y^{2}z^{4}x^{14}$$

Yechim qadamlari

\left(-3x^{3}z\right)^{4} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.

$$\left(-3\right)^{4}x^{12}z^{4}\times 2x^{2}y^{2}\times 3$$

4 daraja ko‘rsatkichini -3 ga hisoblang va 81 ni qiymatni oling.

$$81x^{12}z^{4}\times 2x^{2}y^{2}\times 3$$

162 hosil qilish uchun 81 va 2 ni ko'paytirish.

$$162x^{12}z^{4}x^{2}y^{2}\times 3$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 2 ni qo‘shib, 14 ni oling.

$$162x^{14}z^{4}y^{2}\times 3$$

486 hosil qilish uchun 162 va 3 ni ko'paytirish.

$$486x^{14}z^{4}y^{2}$$