frac{(2)(5xy)^{-8}(3x^-2y)}{(x^3)^4y^-2} eching

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

Baholash

$$\frac{6}{390625y^{5}x^{22}}$$

Yechim qadamlari

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

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

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

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

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

$$\frac{2\times 3\times \left(5xy\right)^{-8}y^{3}}{x^{14}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6\times \left(5xy\right)^{-8}y^{3}}{x^{14}}$$

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

$$\frac{6\times 5^{-8}x^{-8}y^{-8}y^{3}}{x^{14}}$$

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

$$\frac{6\times \frac{1}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

\frac{6}{390625} hosil qilish uchun 6 va \frac{1}{390625} ni ko'paytirish.

$$\frac{\frac{6}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

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

$$\frac{\frac{6}{390625}x^{-8}y^{-5}}{x^{14}}$$

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

$$\frac{\frac{6}{390625}y^{-5}}{x^{22}}$$

Kengaytirish

$$\frac{6}{390625y^{5}x^{22}}$$

Yechim qadamlari

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

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

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

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

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

$$\frac{2\times 3\times \left(5xy\right)^{-8}y^{3}}{x^{14}}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6\times \left(5xy\right)^{-8}y^{3}}{x^{14}}$$

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

$$\frac{6\times 5^{-8}x^{-8}y^{-8}y^{3}}{x^{14}}$$

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

$$\frac{6\times \frac{1}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

\frac{6}{390625} hosil qilish uchun 6 va \frac{1}{390625} ni ko'paytirish.

$$\frac{\frac{6}{390625}x^{-8}y^{-8}y^{3}}{x^{14}}$$

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

$$\frac{\frac{6}{390625}x^{-8}y^{-5}}{x^{14}}$$

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

$$\frac{\frac{6}{390625}y^{-5}}{x^{22}}$$