(frac{a^{-6}b^-5}{4a^-8b^-3})^-2 eching

$$( \frac { a ^ { - 6 } b ^ { - 5 } } { 4 a ^ { - 8 } b ^ { - 3 } } ) ^ { - 2 }$$

Baholash

$$16\times \left(\frac{b}{a}\right)^{4}$$

Yechim qadamlari

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

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

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

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

\frac{a^{2}}{4b^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

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

$$\frac{a^{-4}}{4^{-2}b^{-4}}$$

-2 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{a^{-4}}{\frac{1}{16}b^{-4}}$$

Kengaytirish

$$16\times \left(\frac{b}{a}\right)^{4}$$

Yechim qadamlari

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

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

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

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

\frac{a^{2}}{4b^{2}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

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

$$\frac{a^{-4}}{4^{-2}b^{-4}}$$

-2 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{a^{-4}}{\frac{1}{16}b^{-4}}$$