(frac{2a^{-2}b^{2}c^{-4}}{3a^-3b^-1c^2})^-2 eching

$$( \frac { 2 a ^ { - 2 } b ^ { 2 } c ^ { - 4 } } { 3 a ^ { - 3 } b ^ { - 1 } c ^ { 2 } } ) ^ { - 2 }$$

Baholash

$$\frac{9c^{12}}{4a^{2}b^{6}}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

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

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

$$\left(\frac{2a^{1}b^{3}}{3c^{6}}\right)^{-2}$$

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

$$\left(\frac{2ab^{3}}{3c^{6}}\right)^{-2}$$

\frac{2ab^{3}}{3c^{6}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2ab^{3}\right)^{-2}}{\left(3c^{6}\right)^{-2}}$$

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

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

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

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

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

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{\left(3c^{6}\right)^{-2}}$$

\left(3c^{6}\right)^{-2} ni kengaytirish.

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{3^{-2}\left(c^{6}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -2 ni ko‘paytirib, -12 ni oling.

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{3^{-2}c^{-12}}$$

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

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{\frac{1}{9}c^{-12}}$$

Kengaytirish

$$\frac{9c^{12}}{4a^{2}b^{6}}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

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

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

$$\left(\frac{2a^{1}b^{3}}{3c^{6}}\right)^{-2}$$

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

$$\left(\frac{2ab^{3}}{3c^{6}}\right)^{-2}$$

\frac{2ab^{3}}{3c^{6}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2ab^{3}\right)^{-2}}{\left(3c^{6}\right)^{-2}}$$

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

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

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

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

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

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{\left(3c^{6}\right)^{-2}}$$

\left(3c^{6}\right)^{-2} ni kengaytirish.

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{3^{-2}\left(c^{6}\right)^{-2}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -2 ni ko‘paytirib, -12 ni oling.

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{3^{-2}c^{-12}}$$

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

$$\frac{\frac{1}{4}a^{-2}b^{-6}}{\frac{1}{9}c^{-12}}$$