7m/6n^25x/12n^31/9xm eching

$$\frac { 7 m } { 6 n ^ { 2 } } \frac { 5 x } { 12 n ^ { 3 } } \frac { 1 } { 9 x m }$$

Baholash

$$\frac{35}{648n^{5}}$$

Yechim qadamlari

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

$$\frac{7m\times 5x}{6n^{2}\times 12n^{3}}\times \frac{1}{9xm}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7m\times 5x}{6n^{2}\times 12n^{3}} ni \frac{1}{9xm} ga ko‘paytiring.

$$\frac{7m\times 5x}{6n^{2}\times 12n^{3}\times 9xm}$$

Surat va maxrajdagi ikkala mx ni qisqartiring.

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

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 3 ni qo‘shib, 5 ni oling.

$$\frac{5\times 7}{6\times 9\times 12n^{5}}$$

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

$$\frac{35}{6\times 9\times 12n^{5}}$$

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

$$\frac{35}{54\times 12n^{5}}$$

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

$$\frac{35}{648n^{5}}$$

n ga nisbatan hosilani topish

$$-\frac{175}{648n^{6}}$$