frac{(-4a^{-7}y^5)^3}{8a^-10y^-7} eching

$$\frac { ( - 4 a ^ { - 7 } y ^ { 5 } ) ^ { 3 } } { 8 a ^ { - 10 } y ^ { - 7 } }$$

Baholash

$$-\frac{8y^{22}}{a^{11}}$$

Yechim qadamlari

\left(-4a^{-7}y^{5}\right)^{3} ni kengaytirish.

$$\frac{\left(-4\right)^{3}\left(a^{-7}\right)^{3}\left(y^{5}\right)^{3}}{8a^{-10}y^{-7}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -7 va 3 ni ko‘paytirib, -21 ni oling.

$$\frac{\left(-4\right)^{3}a^{-21}\left(y^{5}\right)^{3}}{8a^{-10}y^{-7}}$$

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

$$\frac{\left(-4\right)^{3}a^{-21}y^{15}}{8a^{-10}y^{-7}}$$

3 daraja ko‘rsatkichini -4 ga hisoblang va -64 ni qiymatni oling.

$$\frac{-64a^{-21}y^{15}}{8a^{-10}y^{-7}}$$

Surat va maxrajdagi ikkala 8 ni qisqartiring.

$$\frac{-8a^{-21}y^{15}}{a^{-10}y^{-7}}$$

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

$$\frac{-8a^{-21}y^{22}}{a^{-10}}$$

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

$$\frac{-8y^{22}}{a^{11}}$$

Kengaytirish

$$-\frac{8y^{22}}{a^{11}}$$

Yechim qadamlari

\left(-4a^{-7}y^{5}\right)^{3} ni kengaytirish.

$$\frac{\left(-4\right)^{3}\left(a^{-7}\right)^{3}\left(y^{5}\right)^{3}}{8a^{-10}y^{-7}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -7 va 3 ni ko‘paytirib, -21 ni oling.

$$\frac{\left(-4\right)^{3}a^{-21}\left(y^{5}\right)^{3}}{8a^{-10}y^{-7}}$$

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

$$\frac{\left(-4\right)^{3}a^{-21}y^{15}}{8a^{-10}y^{-7}}$$

3 daraja ko‘rsatkichini -4 ga hisoblang va -64 ni qiymatni oling.

$$\frac{-64a^{-21}y^{15}}{8a^{-10}y^{-7}}$$

Surat va maxrajdagi ikkala 8 ni qisqartiring.

$$\frac{-8a^{-21}y^{15}}{a^{-10}y^{-7}}$$

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

$$\frac{-8a^{-21}y^{22}}{a^{-10}}$$

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

$$\frac{-8y^{22}}{a^{11}}$$