(y^{3}x^{2})(-3x^{2}y^{-3})^-3(2x^-2y^5)^2 eching

$$( y ^ { 3 } x ^ { 2 } ) ( - 3 x ^ { 2 } y ^ { - 3 } ) ^ { - 3 } ( 2 x ^ { - 2 } y ^ { 5 } ) ^ { 2 }$$

Baholash

$$-\frac{4y^{22}}{27x^{8}}$$

Yechim qadamlari

\left(-3x^{2}y^{-3}\right)^{-3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -3 ni ko‘paytirib, -6 ni oling.

$$y^{3}x^{2}\left(-3\right)^{-3}x^{-6}\left(y^{-3}\right)^{-3}\times \left(2x^{-2}y^{5}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -3 ni ko‘paytirib, 9 ni oling.

$$y^{3}x^{2}\left(-3\right)^{-3}x^{-6}y^{9}\times \left(2x^{-2}y^{5}\right)^{2}$$

-3 daraja ko‘rsatkichini -3 ga hisoblang va -\frac{1}{27} ni qiymatni oling.

$$y^{3}x^{2}\left(-\frac{1}{27}\right)x^{-6}y^{9}\times \left(2x^{-2}y^{5}\right)^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -6 ni qo‘shib, -4 ni oling.

$$y^{3}x^{-4}\left(-\frac{1}{27}\right)y^{9}\times \left(2x^{-2}y^{5}\right)^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 9 ni qo‘shib, 12 ni oling.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times \left(2x^{-2}y^{5}\right)^{2}$$

\left(2x^{-2}y^{5}\right)^{2} ni kengaytirish.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 2^{2}\left(x^{-2}\right)^{2}\left(y^{5}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va 2 ni ko‘paytirib, -4 ni oling.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 2^{2}x^{-4}\left(y^{5}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 2 ni ko‘paytirib, 10 ni oling.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 2^{2}x^{-4}y^{10}$$

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

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 4x^{-4}y^{10}$$

-\frac{4}{27} hosil qilish uchun -\frac{1}{27} va 4 ni ko'paytirish.

$$y^{12}x^{-4}\left(-\frac{4}{27}\right)x^{-4}y^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -4 va -4 ni qo‘shib, -8 ni oling.

$$y^{12}x^{-8}\left(-\frac{4}{27}\right)y^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 10 ni qo‘shib, 22 ni oling.

$$y^{22}x^{-8}\left(-\frac{4}{27}\right)$$

Kengaytirish

$$-\frac{4y^{22}}{27x^{8}}$$

Yechim qadamlari

\left(-3x^{2}y^{-3}\right)^{-3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -3 ni ko‘paytirib, -6 ni oling.

$$y^{3}x^{2}\left(-3\right)^{-3}x^{-6}\left(y^{-3}\right)^{-3}\times \left(2x^{-2}y^{5}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -3 ni ko‘paytirib, 9 ni oling.

$$y^{3}x^{2}\left(-3\right)^{-3}x^{-6}y^{9}\times \left(2x^{-2}y^{5}\right)^{2}$$

-3 daraja ko‘rsatkichini -3 ga hisoblang va -\frac{1}{27} ni qiymatni oling.

$$y^{3}x^{2}\left(-\frac{1}{27}\right)x^{-6}y^{9}\times \left(2x^{-2}y^{5}\right)^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -6 ni qo‘shib, -4 ni oling.

$$y^{3}x^{-4}\left(-\frac{1}{27}\right)y^{9}\times \left(2x^{-2}y^{5}\right)^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 9 ni qo‘shib, 12 ni oling.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times \left(2x^{-2}y^{5}\right)^{2}$$

\left(2x^{-2}y^{5}\right)^{2} ni kengaytirish.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 2^{2}\left(x^{-2}\right)^{2}\left(y^{5}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va 2 ni ko‘paytirib, -4 ni oling.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 2^{2}x^{-4}\left(y^{5}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va 2 ni ko‘paytirib, 10 ni oling.

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 2^{2}x^{-4}y^{10}$$

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

$$y^{12}x^{-4}\left(-\frac{1}{27}\right)\times 4x^{-4}y^{10}$$

-\frac{4}{27} hosil qilish uchun -\frac{1}{27} va 4 ni ko'paytirish.

$$y^{12}x^{-4}\left(-\frac{4}{27}\right)x^{-4}y^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -4 va -4 ni qo‘shib, -8 ni oling.

$$y^{12}x^{-8}\left(-\frac{4}{27}\right)y^{10}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 10 ni qo‘shib, 22 ni oling.

$$y^{22}x^{-8}\left(-\frac{4}{27}\right)$$