frac{(2a^{2}b^{3})^3(a^3)^2}{2a^3}= eching

$$\frac { ( 2 a ^ { 2 } b ^ { 3 } ) ^ { 3 } ( a ^ { 3 } ) ^ { 2 } } { 2 a ^ { 3 } } =$$

Baholash

$$4\left(ab\right)^{9}$$

Yechim qadamlari

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

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

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

$$\frac{a^{3}\times \left(2a^{2}b^{3}\right)^{3}}{2}$$

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

$$\frac{a^{3}\times 2^{3}\left(a^{2}\right)^{3}\left(b^{3}\right)^{3}}{2}$$

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

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

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

$$\frac{a^{3}\times 2^{3}a^{6}b^{9}}{2}$$

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

$$\frac{a^{3}\times 8a^{6}b^{9}}{2}$$

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

$$\frac{a^{9}\times 8b^{9}}{2}$$

a^{9}\times 4b^{9} ni olish uchun a^{9}\times 8b^{9} ni 2 ga bo‘ling.

$$a^{9}\times 4b^{9}$$

Kengaytirish

$$4\left(ab\right)^{9}$$

Yechim qadamlari

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

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

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

$$\frac{a^{3}\times \left(2a^{2}b^{3}\right)^{3}}{2}$$

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

$$\frac{a^{3}\times 2^{3}\left(a^{2}\right)^{3}\left(b^{3}\right)^{3}}{2}$$

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

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

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

$$\frac{a^{3}\times 2^{3}a^{6}b^{9}}{2}$$

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

$$\frac{a^{3}\times 8a^{6}b^{9}}{2}$$

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

$$\frac{a^{9}\times 8b^{9}}{2}$$

a^{9}\times 4b^{9} ni olish uchun a^{9}\times 8b^{9} ni 2 ga bo‘ling.

$$a^{9}\times 4b^{9}$$