(-1/6x^2y)*(3/4x^2y^2)*2xyz^2 eching

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

Baholash

$$-\frac{z^{2}y^{4}x^{5}}{4}$$

Yechim qadamlari

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

$$-\frac{1}{6}x^{4}y\times \frac{3}{4}y^{2}\times 2xyz^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va 1 ni qo‘shib, 5 ni oling.

$$-\frac{1}{6}x^{5}y\times \frac{3}{4}y^{2}\times 2yz^{2}$$

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

$$-\frac{1}{6}x^{5}y^{3}\times \frac{3}{4}\times 2yz^{2}$$

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

$$-\frac{1}{6}x^{5}y^{4}\times \frac{3}{4}\times 2z^{2}$$

-\frac{1}{8} hosil qilish uchun -\frac{1}{6} va \frac{3}{4} ni ko'paytirish.

$$-\frac{1}{8}x^{5}y^{4}\times 2z^{2}$$

-\frac{1}{4} hosil qilish uchun -\frac{1}{8} va 2 ni ko'paytirish.

$$-\frac{1}{4}x^{5}y^{4}z^{2}$$

x ga nisbatan hosilani topish

$$-\frac{5z^{2}\left(xy\right)^{4}}{4}$$