(x^3y/4)div(4/xdiv6/y^3) eching

$$( \frac { x ^ { 3 } y } { 4 } ) \div ( \frac { 4 } { x } \div \frac { 6 } { y ^ { 3 } } )$$

Baholash

$$\frac{3x^{4}}{8y^{2}}$$

Yechim qadamlari

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

$$\frac{x^{3}y\times \frac{6}{y^{3}}}{4\times \frac{4}{x}}$$

x^{3}\times \frac{6}{y^{3}} ni yagona kasrga aylantiring.

$$\frac{\frac{x^{3}\times 6}{y^{3}}y}{4\times \frac{4}{x}}$$

4\times \frac{4}{x} ni yagona kasrga aylantiring.

$$\frac{\frac{x^{3}\times 6}{y^{3}}y}{\frac{4\times 4}{x}}$$

\frac{x^{3}\times 6}{y^{3}}y ni yagona kasrga aylantiring.

$$\frac{\frac{x^{3}\times 6y}{y^{3}}}{\frac{4\times 4}{x}}$$

Surat va maxrajdagi ikkala y ni qisqartiring.

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

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$\frac{\frac{6x^{3}}{y^{2}}}{\frac{16}{x}}$$

\frac{6x^{3}}{y^{2}} ni \frac{16}{x} ga bo'lish \frac{6x^{3}}{y^{2}} ga k'paytirish \frac{16}{x} ga qaytarish.

$$\frac{6x^{3}x}{y^{2}\times 16}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

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

$$\frac{3x^{4}}{8y^{2}}$$

x ga nisbatan hosilani topish

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