(x^6/2ydivx^4/6y^3)*y/8x^5 eching

$$( \frac { x ^ { 6 } } { 2 y } \div \frac { x ^ { 4 } } { 6 y ^ { 3 } } ) \cdot \frac { y } { 8 x ^ { 5 } }$$

Baholash

$$\frac{3\times \left(\frac{y}{x}\right)^{3}}{8}$$

Yechim qadamlari

\frac{x^{6}}{2y} ni \frac{x^{4}}{6y^{3}} ga bo'lish \frac{x^{6}}{2y} ga k'paytirish \frac{x^{4}}{6y^{3}} ga qaytarish.

$$\frac{x^{6}\times 6y^{3}}{2yx^{4}}\times \frac{y}{8x^{5}}$$

Surat va maxrajdagi ikkala 2yx^{4} ni qisqartiring.

$$3x^{2}y^{2}\times \frac{y}{8x^{5}}$$

3\times \frac{y}{8x^{5}} ni yagona kasrga aylantiring.

$$\frac{3y}{8x^{5}}x^{2}y^{2}$$

\frac{3y}{8x^{5}}x^{2} ni yagona kasrga aylantiring.

$$\frac{3yx^{2}}{8x^{5}}y^{2}$$

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

$$\frac{3y}{8x^{3}}y^{2}$$

\frac{3y}{8x^{3}}y^{2} ni yagona kasrga aylantiring.

$$\frac{3yy^{2}}{8x^{3}}$$

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

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

x ga nisbatan hosilani topish

$$-\frac{9y^{3}}{8x^{4}}$$