(a^2b^-1/a^-2b)^2 eching

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

Baholash

$$\frac{a^{8}}{b^{4}}$$

Yechim qadamlari

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

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

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

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

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$\frac{a^{8}}{\left(b^{2}\right)^{2}}$$

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

$$\frac{a^{8}}{b^{4}}$$

Kengaytirish

$$\frac{a^{8}}{b^{4}}$$

Yechim qadamlari

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

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

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

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

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

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$\frac{a^{8}}{\left(b^{2}\right)^{2}}$$

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

$$\frac{a^{8}}{b^{4}}$$