x^-2y^-2/x^-2/x^-2-2+{x^-4/{x^-1}} eching

$$\frac{ \frac{ { x }^{ -2 } { y }^{ -2 } }{ { x }^{ -2 } } }{ \frac{ { x }^{ -2-2 } + { x }^{ -4 } }{ { x }^{ -1 } } }$$

Baholash

$$\frac{x^{3}}{2y^{2}}$$

Yechim qadamlari

\frac{x^{-2}y^{-2}}{x^{-2}} ni \frac{x^{-2-2}+x^{-4}}{x^{-1}} ga bo'lish \frac{x^{-2}y^{-2}}{x^{-2}} ga k'paytirish \frac{x^{-2-2}+x^{-4}}{x^{-1}} ga qaytarish.

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

Surat va maxrajdagi ikkala x^{-2} ni qisqartiring.

$$\frac{y^{-2}\times \frac{1}{x}}{x^{-4}+x^{-2-2}}$$

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

$$\frac{\frac{y^{-2}}{x}}{x^{-4}+x^{-2-2}}$$

-4 olish uchun -2 dan 2 ni ayirish.

$$\frac{\frac{y^{-2}}{x}}{x^{-4}+x^{-4}}$$

2x^{-4} ni olish uchun x^{-4} va x^{-4} ni birlashtirish.

$$\frac{\frac{y^{-2}}{x}}{2x^{-4}}$$

\frac{\frac{y^{-2}}{x}}{2x^{-4}} ni yagona kasrga aylantiring.

$$\frac{y^{-2}}{x\times 2x^{-4}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -4 ni qo‘shib, -3 ni oling.

$$\frac{y^{-2}}{x^{-3}\times 2}$$

x ga nisbatan hosilani topish

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