(-3a^{2}b)^{3}*(-2ab^4)^2div(6a^5b^3) eching

$$( - 3 a ^ { 2 } b ) ^ { 3 } \cdot ( - 2 a b ^ { 4 } ) ^ { 2 } \div ( 6 a ^ { 5 } b ^ { 3 } )$$

Baholash

$$-18a^{3}b^{8}$$

Yechim qadamlari

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

$$\frac{\left(-3\right)^{3}\left(a^{2}\right)^{3}b^{3}\left(-2ab^{4}\right)^{2}}{6a^{5}b^{3}}$$

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

$$\frac{\left(-3\right)^{3}a^{6}b^{3}\left(-2ab^{4}\right)^{2}}{6a^{5}b^{3}}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\frac{-27a^{6}b^{3}\left(-2ab^{4}\right)^{2}}{6a^{5}b^{3}}$$

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

$$\frac{-27a^{6}b^{3}\left(-2\right)^{2}a^{2}\left(b^{4}\right)^{2}}{6a^{5}b^{3}}$$

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

$$\frac{-27a^{6}b^{3}\left(-2\right)^{2}a^{2}b^{8}}{6a^{5}b^{3}}$$

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

$$\frac{-27a^{6}b^{3}\times 4a^{2}b^{8}}{6a^{5}b^{3}}$$

-108 hosil qilish uchun -27 va 4 ni ko'paytirish.

$$\frac{-108a^{6}b^{3}a^{2}b^{8}}{6a^{5}b^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.

$$\frac{-108a^{8}b^{3}b^{8}}{6a^{5}b^{3}}$$

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

$$\frac{-108a^{8}b^{11}}{6a^{5}b^{3}}$$

Surat va maxrajdagi ikkala 6b^{3}a^{5} ni qisqartiring.

$$-18a^{3}b^{8}$$

Kengaytirish

$$-18a^{3}b^{8}$$

Yechim qadamlari

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

$$\frac{\left(-3\right)^{3}\left(a^{2}\right)^{3}b^{3}\left(-2ab^{4}\right)^{2}}{6a^{5}b^{3}}$$

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

$$\frac{\left(-3\right)^{3}a^{6}b^{3}\left(-2ab^{4}\right)^{2}}{6a^{5}b^{3}}$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\frac{-27a^{6}b^{3}\left(-2ab^{4}\right)^{2}}{6a^{5}b^{3}}$$

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

$$\frac{-27a^{6}b^{3}\left(-2\right)^{2}a^{2}\left(b^{4}\right)^{2}}{6a^{5}b^{3}}$$

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

$$\frac{-27a^{6}b^{3}\left(-2\right)^{2}a^{2}b^{8}}{6a^{5}b^{3}}$$

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

$$\frac{-27a^{6}b^{3}\times 4a^{2}b^{8}}{6a^{5}b^{3}}$$

-108 hosil qilish uchun -27 va 4 ni ko'paytirish.

$$\frac{-108a^{6}b^{3}a^{2}b^{8}}{6a^{5}b^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 2 ni qo‘shib, 8 ni oling.

$$\frac{-108a^{8}b^{3}b^{8}}{6a^{5}b^{3}}$$

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

$$\frac{-108a^{8}b^{11}}{6a^{5}b^{3}}$$

Surat va maxrajdagi ikkala 6b^{3}a^{5} ni qisqartiring.

$$-18a^{3}b^{8}$$