(-4mn)^3*(-2m^2)^3 eching

$$( - 4 m n ) ^ { 3 } \cdot ( - 2 m ^ { 2 } ) ^ { 3 }$$

Baholash

$$512n^{3}m^{9}$$

Yechim qadamlari

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

$$\left(-4\right)^{3}m^{3}n^{3}\left(-2m^{2}\right)^{3}$$

3 daraja ko‘rsatkichini -4 ga hisoblang va -64 ni qiymatni oling.

$$-64m^{3}n^{3}\left(-2m^{2}\right)^{3}$$

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

$$-64m^{3}n^{3}\left(-2\right)^{3}\left(m^{2}\right)^{3}$$

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

$$-64m^{3}n^{3}\left(-2\right)^{3}m^{6}$$

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

$$-64m^{3}n^{3}\left(-8\right)m^{6}$$

512 hosil qilish uchun -64 va -8 ni ko'paytirish.

$$512m^{3}n^{3}m^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 6 ni qo‘shib, 9 ni oling.

$$512m^{9}n^{3}$$

Kengaytirish

$$512n^{3}m^{9}$$

Yechim qadamlari

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

$$\left(-4\right)^{3}m^{3}n^{3}\left(-2m^{2}\right)^{3}$$

3 daraja ko‘rsatkichini -4 ga hisoblang va -64 ni qiymatni oling.

$$-64m^{3}n^{3}\left(-2m^{2}\right)^{3}$$

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

$$-64m^{3}n^{3}\left(-2\right)^{3}\left(m^{2}\right)^{3}$$

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

$$-64m^{3}n^{3}\left(-2\right)^{3}m^{6}$$

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

$$-64m^{3}n^{3}\left(-8\right)m^{6}$$

512 hosil qilish uchun -64 va -8 ni ko'paytirish.

$$512m^{3}n^{3}m^{6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 6 ni qo‘shib, 9 ni oling.

$$512m^{9}n^{3}$$