7y/6x^21/9xy5x/12y^3= eching

$$\frac { 7 y } { 6 x ^ { 2 } } \frac { 1 } { 9 x y } \frac { 5 x } { 12 y ^ { 3 } } =$$

Baholash

$$\frac{35}{648x^{2}y^{3}}$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7y}{6x^{2}} ni \frac{1}{9xy} ga ko‘paytiring.

$$\frac{7y}{6x^{2}\times 9xy}\times \frac{5x}{12y^{3}}$$

Surat va maxrajdagi ikkala y ni qisqartiring.

$$\frac{7}{6\times 9xx^{2}}\times \frac{5x}{12y^{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{6\times 9xx^{2}} ni \frac{5x}{12y^{3}} ga ko‘paytiring.

$$\frac{7\times 5x}{6\times 9xx^{2}\times 12y^{3}}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{5\times 7}{6\times 9\times 12x^{2}y^{3}}$$

35 hosil qilish uchun 5 va 7 ni ko'paytirish.

$$\frac{35}{6\times 9\times 12x^{2}y^{3}}$$

54 hosil qilish uchun 6 va 9 ni ko'paytirish.

$$\frac{35}{54\times 12x^{2}y^{3}}$$

648 hosil qilish uchun 54 va 12 ni ko'paytirish.

$$\frac{35}{648x^{2}y^{3}}$$

x ga nisbatan hosilani topish

$$-\frac{35}{324\left(xy\right)^{3}}$$