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

$$\frac{6x^{2}}{390625y^{5}}$$

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.

$$2\times 3\times \left(5xy\right)^{-8}y^{3}x^{10}$$

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

$$6\times \left(5xy\right)^{-8}y^{3}x^{10}$$

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

$$6\times 5^{-8}x^{-8}y^{-8}y^{3}x^{10}$$

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

$$6\times \frac{1}{390625}x^{-8}y^{-8}y^{3}x^{10}$$

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

$$\frac{6}{390625}x^{-8}y^{-8}y^{3}x^{10}$$

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

$$\frac{6}{390625}x^{-8}y^{-5}x^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va 10 ni qo‘shib, 2 ni oling.

$$\frac{6}{390625}x^{2}y^{-5}$$

Kengaytirish

$$\frac{6x^{2}}{390625y^{5}}$$

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.

$$2\times 3\times \left(5xy\right)^{-8}y^{3}x^{10}$$

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

$$6\times \left(5xy\right)^{-8}y^{3}x^{10}$$

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

$$6\times 5^{-8}x^{-8}y^{-8}y^{3}x^{10}$$

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

$$6\times \frac{1}{390625}x^{-8}y^{-8}y^{3}x^{10}$$

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

$$\frac{6}{390625}x^{-8}y^{-8}y^{3}x^{10}$$

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

$$\frac{6}{390625}x^{-8}y^{-5}x^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -8 va 10 ni qo‘shib, 2 ni oling.

$$\frac{6}{390625}x^{2}y^{-5}$$