(frac{9a^{-3}b^{-8}c^{3}}{81a^-1b^-6c^5})^-3 eching

$$( \frac { 9 a ^ { - 3 } b ^ { - 8 } c ^ { 3 } } { 81 a ^ { - 1 } b ^ { - 6 } c ^ { 5 } } ) ^ { - 3 }$$

Baholash

$$729\left(abc\right)^{6}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 9c^{3} ni qisqartiring.

$$\left(\frac{b^{-8}a^{-3}}{9b^{-6}\times \frac{1}{a}c^{2}}\right)^{-3}$$

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

$$\left(\frac{1}{9a^{2}b^{2}c^{2}}\right)^{-3}$$

\frac{1}{9a^{2}b^{2}c^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{1^{-3}}{\left(9a^{2}b^{2}c^{2}\right)^{-3}}$$

-3 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1}{\left(9a^{2}b^{2}c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}\left(a^{2}\right)^{-3}\left(b^{2}\right)^{-3}\left(c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}a^{-6}\left(b^{2}\right)^{-3}\left(c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}a^{-6}b^{-6}\left(c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}a^{-6}b^{-6}c^{-6}}$$

-3 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{729} ni qiymatni oling.

$$\frac{1}{\frac{1}{729}a^{-6}b^{-6}c^{-6}}$$

Kengaytirish

$$729\left(abc\right)^{6}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 9c^{3} ni qisqartiring.

$$\left(\frac{b^{-8}a^{-3}}{9b^{-6}\times \frac{1}{a}c^{2}}\right)^{-3}$$

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

$$\left(\frac{1}{9a^{2}b^{2}c^{2}}\right)^{-3}$$

\frac{1}{9a^{2}b^{2}c^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{1^{-3}}{\left(9a^{2}b^{2}c^{2}\right)^{-3}}$$

-3 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1}{\left(9a^{2}b^{2}c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}\left(a^{2}\right)^{-3}\left(b^{2}\right)^{-3}\left(c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}a^{-6}\left(b^{2}\right)^{-3}\left(c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}a^{-6}b^{-6}\left(c^{2}\right)^{-3}}$$

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

$$\frac{1}{9^{-3}a^{-6}b^{-6}c^{-6}}$$

-3 daraja ko‘rsatkichini 9 ga hisoblang va \frac{1}{729} ni qiymatni oling.

$$\frac{1}{\frac{1}{729}a^{-6}b^{-6}c^{-6}}$$