6*(frac{x^{3}y^{2}z^{4}}{x^-4y^3z^-2})^-1= eching

$$6 \cdot ( \frac { x ^ { 3 } y ^ { 2 } z ^ { 4 } } { x ^ { - 4 } y ^ { 3 } z ^ { - 2 } } ) ^ { - 1 } =$$

Baholash

$$\frac{6y}{z^{6}x^{7}}$$

Yechim qadamlari

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

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

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

$$6\times \left(\frac{z^{6}x^{7}}{y}\right)^{-1}$$

\frac{z^{6}x^{7}}{y}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$6\times \frac{\left(z^{6}x^{7}\right)^{-1}}{y^{-1}}$$

6\times \frac{\left(z^{6}x^{7}\right)^{-1}}{y^{-1}} ni yagona kasrga aylantiring.

$$\frac{6\left(z^{6}x^{7}\right)^{-1}}{y^{-1}}$$

\left(z^{6}x^{7}\right)^{-1} ni kengaytirish.

$$\frac{6\left(z^{6}\right)^{-1}\left(x^{7}\right)^{-1}}{y^{-1}}$$

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

$$\frac{6z^{-6}\left(x^{7}\right)^{-1}}{y^{-1}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 7 va -1 ni ko‘paytirib, -7 ni oling.

$$\frac{6z^{-6}x^{-7}}{y^{-1}}$$

x ga nisbatan hosilani topish

$$-\frac{42y}{z^{6}x^{8}}$$