8^-1a^2b^-2/{left(2ab^-1right)^-3} eching

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

Baholash

$$\left(\frac{a}{b}\right)^{5}$$

Qisqa yechim qadamlari

-1 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}a^{2}b^{-2}}{\left(2ab^{-1}\right)^{-3}}$$

\left(2ab^{-1}\right)^{-3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va -3 ni ko‘paytirib, 3 ni oling.

$$\frac{\frac{1}{8}a^{2}b^{-2}}{2^{-3}a^{-3}b^{3}}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}a^{2}b^{-2}}{\frac{1}{8}a^{-3}b^{3}}$$

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

$$\frac{\frac{1}{8}b^{-2}a^{5}}{\frac{1}{8}b^{3}}$$

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

$$\frac{a^{5}}{\left(\frac{1}{8}\right)^{0}b^{5}}$$

0 daraja ko‘rsatkichini \frac{1}{8} ga hisoblang va 1 ni qiymatni oling.

$$\frac{a^{5}}{1b^{5}}$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{a^{5}}{b^{5}}$$

Kengaytirish

$$\left(\frac{a}{b}\right)^{5}$$

Qisqa yechim qadamlari

-1 daraja ko‘rsatkichini 8 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}a^{2}b^{-2}}{\left(2ab^{-1}\right)^{-3}}$$

\left(2ab^{-1}\right)^{-3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va -3 ni ko‘paytirib, 3 ni oling.

$$\frac{\frac{1}{8}a^{2}b^{-2}}{2^{-3}a^{-3}b^{3}}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{\frac{1}{8}a^{2}b^{-2}}{\frac{1}{8}a^{-3}b^{3}}$$

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

$$\frac{\frac{1}{8}b^{-2}a^{5}}{\frac{1}{8}b^{3}}$$

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

$$\frac{a^{5}}{\left(\frac{1}{8}\right)^{0}b^{5}}$$

0 daraja ko‘rsatkichini \frac{1}{8} ga hisoblang va 1 ni qiymatni oling.

$$\frac{a^{5}}{1b^{5}}$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{a^{5}}{b^{5}}$$