left(5xyright)^-83x^-2y/left(x^3right)^4{y^-2} eching

$$\frac{ { \left(5xy \right) }^{ -8 } 3 { x }^{ -2 } y }{ { \left( { x }^{ 3 } \right) }^{ 4 } { y }^{ -2 } }$$

Baholash

$$\frac{3}{390625y^{5}x^{22}}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.

$$\frac{\left(5xy\right)^{-8}\times 3x^{-2}y}{x^{12}y^{-2}}$$

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

$$\frac{3\times \left(5xy\right)^{-8}x^{-2}y^{3}}{x^{12}}$$

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

$$\frac{3\times \left(5xy\right)^{-8}y^{3}}{x^{14}}$$

\left(5xy\right)^{-8} ni kengaytirish.

$$\frac{3\times 5^{-8}x^{-8}y^{-8}y^{3}}{x^{14}}$$

-8 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{390625} ni qiymatni oling.

$$\frac{3\times \frac{1}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

\frac{3}{390625} hosil qilish uchun 3 va \frac{1}{390625} ni ko'paytirish.

$$\frac{\frac{3}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va 3 ni qo‘shib, -5 ni oling.

$$\frac{\frac{3}{390625}x^{-8}y^{-5}}{x^{14}}$$

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

$$\frac{\frac{3}{390625}y^{-5}}{x^{22}}$$

Kengaytirish

$$\frac{3}{390625y^{5}x^{22}}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.

$$\frac{\left(5xy\right)^{-8}\times 3x^{-2}y}{x^{12}y^{-2}}$$

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

$$\frac{3\times \left(5xy\right)^{-8}x^{-2}y^{3}}{x^{12}}$$

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

$$\frac{3\times \left(5xy\right)^{-8}y^{3}}{x^{14}}$$

\left(5xy\right)^{-8} ni kengaytirish.

$$\frac{3\times 5^{-8}x^{-8}y^{-8}y^{3}}{x^{14}}$$

-8 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{390625} ni qiymatni oling.

$$\frac{3\times \frac{1}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

\frac{3}{390625} hosil qilish uchun 3 va \frac{1}{390625} ni ko'paytirish.

$$\frac{\frac{3}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va 3 ni qo‘shib, -5 ni oling.

$$\frac{\frac{3}{390625}x^{-8}y^{-5}}{x^{14}}$$

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

$$\frac{\frac{3}{390625}y^{-5}}{x^{22}}$$