(2a^2/3b)^-2(3/a)^-3 eching

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

Baholash

$$\frac{b^{2}}{12a}$$

Yechim qadamlari

\frac{2a^{2}}{3b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\frac{3}{a}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}} ni \frac{3^{-3}}{a^{-3}} ga ko‘paytiring.

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

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

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

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

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

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\frac{1}{4}a^{-4}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

-3 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{27} ni qiymatni oling.

$$\frac{\frac{1}{4}a^{-4}\times \frac{1}{27}}{\left(3b\right)^{-2}a^{-3}}$$

\frac{1}{108} hosil qilish uchun \frac{1}{4} va \frac{1}{27} ni ko'paytirish.

$$\frac{\frac{1}{108}a^{-4}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}a^{-4}}{3^{-2}b^{-2}a^{-3}}$$

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{\frac{1}{108}a^{-4}}{\frac{1}{9}b^{-2}a^{-3}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}}$$

\frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}} ni yagona kasrga aylantiring.

$$\frac{1}{108\times \frac{1}{9}b^{-2}a^{1}}$$

12 hosil qilish uchun 108 va \frac{1}{9} ni ko'paytirish.

$$\frac{1}{12b^{-2}a^{1}}$$

1 daraja ko‘rsatkichini a ga hisoblang va a ni qiymatni oling.

$$\frac{1}{12b^{-2}a}$$

Kengaytirish

$$\frac{b^{2}}{12a}$$

Yechim qadamlari

\frac{2a^{2}}{3b}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\frac{3}{a}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}} ni \frac{3^{-3}}{a^{-3}} ga ko‘paytiring.

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

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

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

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

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

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{\frac{1}{4}a^{-4}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

-3 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{27} ni qiymatni oling.

$$\frac{\frac{1}{4}a^{-4}\times \frac{1}{27}}{\left(3b\right)^{-2}a^{-3}}$$

\frac{1}{108} hosil qilish uchun \frac{1}{4} va \frac{1}{27} ni ko'paytirish.

$$\frac{\frac{1}{108}a^{-4}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}a^{-4}}{3^{-2}b^{-2}a^{-3}}$$

-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{\frac{1}{108}a^{-4}}{\frac{1}{9}b^{-2}a^{-3}}$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}}$$

\frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}} ni yagona kasrga aylantiring.

$$\frac{1}{108\times \frac{1}{9}b^{-2}a^{1}}$$

12 hosil qilish uchun 108 va \frac{1}{9} ni ko'paytirish.

$$\frac{1}{12b^{-2}a^{1}}$$

1 daraja ko‘rsatkichini a ga hisoblang va a ni qiymatni oling.

$$\frac{1}{12b^{-2}a}$$