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

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

Baholash

$$-\frac{4}{3a}$$

Yechim qadamlari

\left(-6a^{4}b^{3}\right)^{2} ni kengaytirish.

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

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

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

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

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

2 daraja ko‘rsatkichini -6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{36a^{8}b^{6}}{\left(-3a^{3}b^{2}\right)^{3}}$$

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

$$\frac{36a^{8}b^{6}}{\left(-3\right)^{3}\left(a^{3}\right)^{3}\left(b^{2}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{36a^{8}b^{6}}{\left(-3\right)^{3}a^{9}\left(b^{2}\right)^{3}}$$

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

$$\frac{36a^{8}b^{6}}{\left(-3\right)^{3}a^{9}b^{6}}$$

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

$$\frac{36a^{8}b^{6}}{-27a^{9}b^{6}}$$

Surat va maxrajdagi ikkala 9b^{6}a^{8} ni qisqartiring.

$$\frac{4}{-3a}$$

Kengaytirish

$$-\frac{4}{3a}$$

Yechim qadamlari

\left(-6a^{4}b^{3}\right)^{2} ni kengaytirish.

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

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

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

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

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

2 daraja ko‘rsatkichini -6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{36a^{8}b^{6}}{\left(-3a^{3}b^{2}\right)^{3}}$$

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

$$\frac{36a^{8}b^{6}}{\left(-3\right)^{3}\left(a^{3}\right)^{3}\left(b^{2}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.

$$\frac{36a^{8}b^{6}}{\left(-3\right)^{3}a^{9}\left(b^{2}\right)^{3}}$$

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

$$\frac{36a^{8}b^{6}}{\left(-3\right)^{3}a^{9}b^{6}}$$

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

$$\frac{36a^{8}b^{6}}{-27a^{9}b^{6}}$$

Surat va maxrajdagi ikkala 9b^{6}a^{8} ni qisqartiring.

$$\frac{4}{-3a}$$