frac{(2a^{-5}b^{6})^3}{2^4a^8b^-7} eching

$$\frac { ( 2 a ^ { - 5 } b ^ { 6 } ) ^ { 3 } } { 2 ^ { 4 } a ^ { 8 } b ^ { - 7 } }$$

Baholash

$$\frac{b^{25}}{2a^{23}}$$

Yechim qadamlari

\left(2a^{-5}b^{6}\right)^{3} ni kengaytirish.

$$\frac{2^{3}\left(a^{-5}\right)^{3}\left(b^{6}\right)^{3}}{2^{4}a^{8}b^{-7}}$$

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

$$\frac{2^{3}a^{-15}\left(b^{6}\right)^{3}}{2^{4}a^{8}b^{-7}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 3 ni ko‘paytirib, 18 ni oling.

$$\frac{2^{3}a^{-15}b^{18}}{2^{4}a^{8}b^{-7}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8a^{-15}b^{18}}{2^{4}a^{8}b^{-7}}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{8a^{-15}b^{18}}{16a^{8}b^{-7}}$$

Surat va maxrajdagi ikkala 8 ni qisqartiring.

$$\frac{a^{-15}b^{18}}{2b^{-7}a^{8}}$$

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

$$\frac{a^{-15}b^{25}}{2a^{8}}$$

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

$$\frac{b^{25}}{2a^{23}}$$

Kengaytirish

$$\frac{b^{25}}{2a^{23}}$$

Yechim qadamlari

\left(2a^{-5}b^{6}\right)^{3} ni kengaytirish.

$$\frac{2^{3}\left(a^{-5}\right)^{3}\left(b^{6}\right)^{3}}{2^{4}a^{8}b^{-7}}$$

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

$$\frac{2^{3}a^{-15}\left(b^{6}\right)^{3}}{2^{4}a^{8}b^{-7}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va 3 ni ko‘paytirib, 18 ni oling.

$$\frac{2^{3}a^{-15}b^{18}}{2^{4}a^{8}b^{-7}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{8a^{-15}b^{18}}{2^{4}a^{8}b^{-7}}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{8a^{-15}b^{18}}{16a^{8}b^{-7}}$$

Surat va maxrajdagi ikkala 8 ni qisqartiring.

$$\frac{a^{-15}b^{18}}{2b^{-7}a^{8}}$$

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

$$\frac{a^{-15}b^{25}}{2a^{8}}$$

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

$$\frac{b^{25}}{2a^{23}}$$