frac{(-2xy)^{2}*2(x^2y^-1)^3}{8(xy)^-3} eching

$$\frac { ( - 2 x y ) ^ { 2 } \times 2 ( x ^ { 2 } y ^ { - 1 } ) ^ { 3 } } { 8 ( x y ) ^ { - 3 } }$$

Baholash

$$y^{2}x^{11}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\left(\frac{1}{y}x^{2}\right)^{3}\left(-2xy\right)^{2}}{4\left(xy\right)^{-3}}$$

\frac{1}{y}x^{2} ni yagona kasrga aylantiring.

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

\frac{x^{2}}{y}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\left(-2xy\right)^{2} ni kengaytirish.

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

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

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

\frac{\left(x^{2}\right)^{3}}{y^{3}}\times 4 ni yagona kasrga aylantiring.

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

\frac{\left(x^{2}\right)^{3}\times 4}{y^{3}}x^{2} ni yagona kasrga aylantiring.

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

\frac{\left(x^{2}\right)^{3}\times 4x^{2}}{y^{3}}y^{2} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala y^{2} ni qisqartiring.

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

\left(xy\right)^{-3} ni kengaytirish.

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

\frac{\frac{4x^{2}\left(x^{2}\right)^{3}}{y}}{4x^{-3}y^{-3}} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala 4 ni qisqartiring.

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

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

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

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

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 6 ni qo‘shib, 11 ni oling.

$$\frac{x^{11}}{y^{-3}y}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -3 va 1 ni qo‘shib, -2 ni oling.

$$\frac{x^{11}}{y^{-2}}$$

Kengaytirish

$$y^{2}x^{11}$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{\left(\frac{1}{y}x^{2}\right)^{3}\left(-2xy\right)^{2}}{4\left(xy\right)^{-3}}$$

\frac{1}{y}x^{2} ni yagona kasrga aylantiring.

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

\frac{x^{2}}{y}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\left(-2xy\right)^{2} ni kengaytirish.

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

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

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

\frac{\left(x^{2}\right)^{3}}{y^{3}}\times 4 ni yagona kasrga aylantiring.

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

\frac{\left(x^{2}\right)^{3}\times 4}{y^{3}}x^{2} ni yagona kasrga aylantiring.

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

\frac{\left(x^{2}\right)^{3}\times 4x^{2}}{y^{3}}y^{2} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala y^{2} ni qisqartiring.

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

\left(xy\right)^{-3} ni kengaytirish.

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

\frac{\frac{4x^{2}\left(x^{2}\right)^{3}}{y}}{4x^{-3}y^{-3}} ni yagona kasrga aylantiring.

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

Surat va maxrajdagi ikkala 4 ni qisqartiring.

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

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

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

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

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 6 ni qo‘shib, 11 ni oling.

$$\frac{x^{11}}{y^{-3}y}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -3 va 1 ni qo‘shib, -2 ni oling.

$$\frac{x^{11}}{y^{-2}}$$