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

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

Baholash

$$648z^{4}y^{6}x^{18}$$

Yechim qadamlari

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

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

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

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

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

$$81x^{12}z^{4}\times \left(2x^{2}y^{2}\right)^{3}$$

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

$$81x^{12}z^{4}\times 2^{3}\left(x^{2}\right)^{3}\left(y^{2}\right)^{3}$$

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

$$81x^{12}z^{4}\times 2^{3}x^{6}\left(y^{2}\right)^{3}$$

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

$$81x^{12}z^{4}\times 2^{3}x^{6}y^{6}$$

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

$$81x^{12}z^{4}\times 8x^{6}y^{6}$$

648 hosil qilish uchun 81 va 8 ni ko'paytirish.

$$648x^{12}z^{4}x^{6}y^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 6 ni qo‘shib, 18 ni oling.

$$648x^{18}z^{4}y^{6}$$

Kengaytirish

$$648z^{4}y^{6}x^{18}$$

Yechim qadamlari

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

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

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

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

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

$$81x^{12}z^{4}\times \left(2x^{2}y^{2}\right)^{3}$$

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

$$81x^{12}z^{4}\times 2^{3}\left(x^{2}\right)^{3}\left(y^{2}\right)^{3}$$

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

$$81x^{12}z^{4}\times 2^{3}x^{6}\left(y^{2}\right)^{3}$$

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

$$81x^{12}z^{4}\times 2^{3}x^{6}y^{6}$$

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

$$81x^{12}z^{4}\times 8x^{6}y^{6}$$

648 hosil qilish uchun 81 va 8 ni ko'paytirish.

$$648x^{12}z^{4}x^{6}y^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 6 ni qo‘shib, 18 ni oling.

$$648x^{18}z^{4}y^{6}$$