(-3x^{2}y^{3})(x^-2y^-3/x^4y)^-1 eching

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

Baholash

$$-3y^{7}x^{8}$$

Yechim qadamlari

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

$$-3x^{2}y^{3}\times \left(\frac{1}{y^{4}x^{6}}\right)^{-1}$$

\frac{1}{y^{4}x^{6}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$-3x^{2}y^{3}\times \frac{1^{-1}}{\left(y^{4}x^{6}\right)^{-1}}$$

-3\times \frac{1^{-1}}{\left(y^{4}x^{6}\right)^{-1}} ni yagona kasrga aylantiring.

$$\frac{-3\times 1^{-1}}{\left(y^{4}x^{6}\right)^{-1}}x^{2}y^{3}$$

-1 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{-3}{\left(y^{4}x^{6}\right)^{-1}}x^{2}y^{3}$$

\left(y^{4}x^{6}\right)^{-1} ni kengaytirish.

$$\frac{-3}{\left(y^{4}\right)^{-1}\left(x^{6}\right)^{-1}}x^{2}y^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -1 ni ko‘paytirib, -4 ni oling.

$$\frac{-3}{y^{-4}\left(x^{6}\right)^{-1}}x^{2}y^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 6 va -1 ni ko‘paytirib, -6 ni oling.

$$\frac{-3}{y^{-4}x^{-6}}x^{2}y^{3}$$

\frac{-3}{y^{-4}x^{-6}}x^{2} ni yagona kasrga aylantiring.

$$\frac{-3x^{2}}{y^{-4}x^{-6}}y^{3}$$

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

$$\frac{-3x^{8}}{y^{-4}}y^{3}$$

\frac{-3x^{8}}{y^{-4}}y^{3} ni yagona kasrga aylantiring.

$$\frac{-3x^{8}y^{3}}{y^{-4}}$$

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

$$-3y^{7}x^{8}$$

x ga nisbatan hosilani topish

$$-24\left(xy\right)^{7}$$