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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Annulla z fin-numeratur u d-denominatur.

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

Immultiplika \frac{5xy}{z^{3}} b'\frac{5yz}{2x^{5}} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla xz fin-numeratur u d-denominatur.

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

Immultiplika \frac{5\times 5yy}{2z^{2}x^{4}} b'\frac{5}{6y} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla y fin-numeratur u d-denominatur.

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

Immultiplika 5 u 5 biex tikseb 25.

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

Immultiplika 25 u 5 biex tikseb 125.

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

Immultiplika 2 u 6 biex tikseb 12.

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

Iddifferenzja w.r.t. x

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