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

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

Baholash

$$32x^{4}y^{6}z^{15}$$

Yechim qadamlari

\left(-2xyz^{3}\right)^{4} ni kengaytirish.

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

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

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

4 daraja ko‘rsatkichini -2 ga hisoblang va 16 ni qiymatni oling.

$$16x^{4}y^{4}z^{12}\times 2y^{2}z^{3}$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$32x^{4}y^{4}z^{12}y^{2}z^{3}$$

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

$$32x^{4}y^{6}z^{12}z^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 3 ni qo‘shib, 15 ni oling.

$$32x^{4}y^{6}z^{15}$$

Kengaytirish

$$32x^{4}y^{6}z^{15}$$

Yechim qadamlari

\left(-2xyz^{3}\right)^{4} ni kengaytirish.

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

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

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

4 daraja ko‘rsatkichini -2 ga hisoblang va 16 ni qiymatni oling.

$$16x^{4}y^{4}z^{12}\times 2y^{2}z^{3}$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$32x^{4}y^{4}z^{12}y^{2}z^{3}$$

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

$$32x^{4}y^{6}z^{12}z^{3}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 3 ni qo‘shib, 15 ni oling.

$$32x^{4}y^{6}z^{15}$$