frac{(3a^{3}b)^{4}}{(2a^{2})^2}*(2ab^4)^3/9ab^3 eching

$$\frac { ( 3 a ^ { 3 } b ) ^ { 4 } } { ( 2 a ^ { 2 } ) ^ { 2 } } \times \frac { ( 2 a b ^ { 4 } ) ^ { 3 } } { 9 a b ^ { 3 } }$$

Baholash

$$18a^{10}b^{13}$$

Yechim qadamlari

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

$$\frac{3^{4}\left(a^{3}\right)^{4}b^{4}}{\left(2a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{3^{4}a^{12}b^{4}}{\left(2a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{\left(2a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{2^{2}\left(a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{2^{2}a^{4}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{4a^{4}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

Surat va maxrajdagi ikkala a^{4} ni qisqartiring.

$$\frac{81b^{4}a^{8}}{4}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

\left(2ab^{4}\right)^{3} ni kengaytirish.

$$\frac{81b^{4}a^{8}}{4}\times \frac{2^{3}a^{3}\left(b^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81b^{4}a^{8}}{4}\times \frac{2^{3}a^{3}b^{12}}{9ab^{3}}$$

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

$$\frac{81b^{4}a^{8}}{4}\times \frac{8a^{3}b^{12}}{9ab^{3}}$$

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

$$\frac{81b^{4}a^{8}}{4}\times \frac{8a^{2}b^{9}}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{81b^{4}a^{8}}{4} ni \frac{8a^{2}b^{9}}{9} ga ko‘paytiring.

$$\frac{81b^{4}a^{8}\times 8a^{2}b^{9}}{4\times 9}$$

Surat va maxrajdagi ikkala 4\times 9 ni qisqartiring.

$$2\times 9a^{2}b^{4}a^{8}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 8 ni qo‘shib, 10 ni oling.

$$2\times 9a^{10}b^{4}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 9 ni qo‘shib, 13 ni oling.

$$2\times 9a^{10}b^{13}$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$18a^{10}b^{13}$$

Kengaytirish

$$18a^{10}b^{13}$$

Yechim qadamlari

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

$$\frac{3^{4}\left(a^{3}\right)^{4}b^{4}}{\left(2a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{3^{4}a^{12}b^{4}}{\left(2a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{\left(2a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{2^{2}\left(a^{2}\right)^{2}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{2^{2}a^{4}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81a^{12}b^{4}}{4a^{4}}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

Surat va maxrajdagi ikkala a^{4} ni qisqartiring.

$$\frac{81b^{4}a^{8}}{4}\times \frac{\left(2ab^{4}\right)^{3}}{9ab^{3}}$$

\left(2ab^{4}\right)^{3} ni kengaytirish.

$$\frac{81b^{4}a^{8}}{4}\times \frac{2^{3}a^{3}\left(b^{4}\right)^{3}}{9ab^{3}}$$

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

$$\frac{81b^{4}a^{8}}{4}\times \frac{2^{3}a^{3}b^{12}}{9ab^{3}}$$

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

$$\frac{81b^{4}a^{8}}{4}\times \frac{8a^{3}b^{12}}{9ab^{3}}$$

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

$$\frac{81b^{4}a^{8}}{4}\times \frac{8a^{2}b^{9}}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{81b^{4}a^{8}}{4} ni \frac{8a^{2}b^{9}}{9} ga ko‘paytiring.

$$\frac{81b^{4}a^{8}\times 8a^{2}b^{9}}{4\times 9}$$

Surat va maxrajdagi ikkala 4\times 9 ni qisqartiring.

$$2\times 9a^{2}b^{4}a^{8}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 8 ni qo‘shib, 10 ni oling.

$$2\times 9a^{10}b^{4}b^{9}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 9 ni qo‘shib, 13 ni oling.

$$2\times 9a^{10}b^{13}$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$18a^{10}b^{13}$$