[frac{ab^{-1}}{a^{-3}b^{2}}]^{-5}div[a^-2b/a^3b^-4]^3 eching

$$[ \frac { a b ^ { - 1 } } { a ^ { - 3 } b ^ { 2 } } ] ^ { - 5 } \div [ \frac { a ^ { - 2 } b } { a ^ { 3 } b ^ { - 4 } } ] ^ { 3 }$$

Baholash

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

Yechim qadamlari

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

$$\frac{\left(\frac{\frac{1}{b}a^{4}}{b^{2}}\right)^{-5}}{\left(\frac{a^{-2}b}{a^{3}b^{-4}}\right)^{3}}$$

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

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

\frac{a^{4}}{b^{3}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

\frac{b^{5}}{a^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\frac{\left(a^{4}\right)^{-5}}{\left(b^{3}\right)^{-5}} ni \frac{\left(b^{5}\right)^{3}}{\left(a^{5}\right)^{3}} ga bo'lish \frac{\left(a^{4}\right)^{-5}}{\left(b^{3}\right)^{-5}} ga k'paytirish \frac{\left(b^{5}\right)^{3}}{\left(a^{5}\right)^{3}} ga qaytarish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -5 ni ko‘paytirib, -20 ni oling.

$$\frac{a^{-20}\left(a^{5}\right)^{3}}{\left(b^{3}\right)^{-5}\left(b^{5}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{a^{-20}a^{15}}{\left(b^{3}\right)^{-5}\left(b^{5}\right)^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -20 va 15 ni qo‘shib, -5 ni oling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -5 ni ko‘paytirib, -15 ni oling.

$$\frac{a^{-5}}{b^{-15}\left(b^{5}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{a^{-5}}{b^{-15}b^{15}}$$

1 hosil qilish uchun b^{-15} va b^{15} ni ko'paytirish.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$a^{-5}$$

Kengaytirish

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

Yechim qadamlari

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

$$\frac{\left(\frac{\frac{1}{b}a^{4}}{b^{2}}\right)^{-5}}{\left(\frac{a^{-2}b}{a^{3}b^{-4}}\right)^{3}}$$

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

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

\frac{a^{4}}{b^{3}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

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

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

\frac{b^{5}}{a^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\frac{\left(a^{4}\right)^{-5}}{\left(b^{3}\right)^{-5}} ni \frac{\left(b^{5}\right)^{3}}{\left(a^{5}\right)^{3}} ga bo'lish \frac{\left(a^{4}\right)^{-5}}{\left(b^{3}\right)^{-5}} ga k'paytirish \frac{\left(b^{5}\right)^{3}}{\left(a^{5}\right)^{3}} ga qaytarish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -5 ni ko‘paytirib, -20 ni oling.

$$\frac{a^{-20}\left(a^{5}\right)^{3}}{\left(b^{3}\right)^{-5}\left(b^{5}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{a^{-20}a^{15}}{\left(b^{3}\right)^{-5}\left(b^{5}\right)^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -20 va 15 ni qo‘shib, -5 ni oling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va -5 ni ko‘paytirib, -15 ni oling.

$$\frac{a^{-5}}{b^{-15}\left(b^{5}\right)^{3}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 3 ni ko‘paytirib, 15 ni oling.

$$\frac{a^{-5}}{b^{-15}b^{15}}$$

1 hosil qilish uchun b^{-15} va b^{15} ni ko'paytirish.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$a^{-5}$$