frac{(3a^{5})^{2}}{(2b^{4})^{3}}:(9a^3)^2/(8b^5)^3 eching

$$\frac { ( 3 a ^ { 5 } ) ^ { 2 } } { ( 2 b ^ { 4 } ) ^ { 3 } } : \frac { ( 9 a ^ { 3 } ) ^ { 2 } } { ( 8 b ^ { 5 } ) ^ { 3 } }$$

Baholash

$$\frac{64b^{3}a^{4}}{9}$$

Yechim qadamlari

\frac{\left(3a^{5}\right)^{2}}{\left(2b^{4}\right)^{3}} ni \frac{\left(9a^{3}\right)^{2}}{\left(8b^{5}\right)^{3}} ga bo'lish \frac{\left(3a^{5}\right)^{2}}{\left(2b^{4}\right)^{3}} ga k'paytirish \frac{\left(9a^{3}\right)^{2}}{\left(8b^{5}\right)^{3}} ga qaytarish.

$$\frac{\left(3a^{5}\right)^{2}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

\left(3a^{5}\right)^{2} ni kengaytirish.

$$\frac{3^{2}\left(a^{5}\right)^{2}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 2 ni ko‘paytirib, 10 ni oling.

$$\frac{3^{2}a^{10}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{9a^{10}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

\left(8b^{5}\right)^{3} ni kengaytirish.

$$\frac{9a^{10}\times 8^{3}\left(b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{9a^{10}\times 8^{3}b^{15}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

3 daraja ko‘rsatkichini 8 ga hisoblang va 512 ni qiymatni oling.

$$\frac{9a^{10}\times 512b^{15}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

4608 hosil qilish uchun 9 va 512 ni ko'paytirish.

$$\frac{4608a^{10}b^{15}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{2^{3}\left(b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{2^{3}b^{12}\times \left(9a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{8b^{12}\times \left(9a^{3}\right)^{2}}$$

\left(9a^{3}\right)^{2} ni kengaytirish.

$$\frac{4608a^{10}b^{15}}{8b^{12}\times 9^{2}\left(a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{8b^{12}\times 9^{2}a^{6}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{4608a^{10}b^{15}}{8b^{12}\times 81a^{6}}$$

648 hosil qilish uchun 8 va 81 ni ko'paytirish.

$$\frac{4608a^{10}b^{15}}{648b^{12}a^{6}}$$

Surat va maxrajdagi ikkala 72a^{6}b^{12} ni qisqartiring.

$$\frac{64b^{3}a^{4}}{9}$$

Kengaytirish

$$\frac{64b^{3}a^{4}}{9}$$

Yechim qadamlari

\frac{\left(3a^{5}\right)^{2}}{\left(2b^{4}\right)^{3}} ni \frac{\left(9a^{3}\right)^{2}}{\left(8b^{5}\right)^{3}} ga bo'lish \frac{\left(3a^{5}\right)^{2}}{\left(2b^{4}\right)^{3}} ga k'paytirish \frac{\left(9a^{3}\right)^{2}}{\left(8b^{5}\right)^{3}} ga qaytarish.

$$\frac{\left(3a^{5}\right)^{2}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

\left(3a^{5}\right)^{2} ni kengaytirish.

$$\frac{3^{2}\left(a^{5}\right)^{2}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 2 ni ko‘paytirib, 10 ni oling.

$$\frac{3^{2}a^{10}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{9a^{10}\times \left(8b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

\left(8b^{5}\right)^{3} ni kengaytirish.

$$\frac{9a^{10}\times 8^{3}\left(b^{5}\right)^{3}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{9a^{10}\times 8^{3}b^{15}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

3 daraja ko‘rsatkichini 8 ga hisoblang va 512 ni qiymatni oling.

$$\frac{9a^{10}\times 512b^{15}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

4608 hosil qilish uchun 9 va 512 ni ko'paytirish.

$$\frac{4608a^{10}b^{15}}{\left(2b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{2^{3}\left(b^{4}\right)^{3}\times \left(9a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{2^{3}b^{12}\times \left(9a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{8b^{12}\times \left(9a^{3}\right)^{2}}$$

\left(9a^{3}\right)^{2} ni kengaytirish.

$$\frac{4608a^{10}b^{15}}{8b^{12}\times 9^{2}\left(a^{3}\right)^{2}}$$

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

$$\frac{4608a^{10}b^{15}}{8b^{12}\times 9^{2}a^{6}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{4608a^{10}b^{15}}{8b^{12}\times 81a^{6}}$$

648 hosil qilish uchun 8 va 81 ni ko'paytirish.

$$\frac{4608a^{10}b^{15}}{648b^{12}a^{6}}$$

Surat va maxrajdagi ikkala 72a^{6}b^{12} ni qisqartiring.

$$\frac{64b^{3}a^{4}}{9}$$