5xy/z^3*5yz/2x^5*5z/6yz eching

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

Baholash

$$\frac{125y}{12z^{2}x^{4}}$$

Yechim qadamlari

Surat va maxrajdagi ikkala z ni qisqartiring.

$$\frac{5xy}{z^{3}}\times \frac{5yz}{2x^{5}}\times \frac{5}{6y}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5xy}{z^{3}} ni \frac{5yz}{2x^{5}} ga ko‘paytiring.

$$\frac{5xy\times 5yz}{z^{3}\times 2x^{5}}\times \frac{5}{6y}$$

Surat va maxrajdagi ikkala xz ni qisqartiring.

$$\frac{5\times 5yy}{2z^{2}x^{4}}\times \frac{5}{6y}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5\times 5yy}{2z^{2}x^{4}} ni \frac{5}{6y} ga ko‘paytiring.

$$\frac{5\times 5yy\times 5}{2z^{2}x^{4}\times 6y}$$

Surat va maxrajdagi ikkala y ni qisqartiring.

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

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$\frac{25\times 5y}{2\times 6z^{2}x^{4}}$$

125 hosil qilish uchun 25 va 5 ni ko'paytirish.

$$\frac{125y}{2\times 6z^{2}x^{4}}$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{125y}{12z^{2}x^{4}}$$

x ga nisbatan hosilani topish

$$-\frac{125y}{3z^{2}x^{5}}$$