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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Immultiplika \frac{7m}{6n^{2}} b'\frac{5x}{12n^{3}} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Immultiplika \frac{7m\times 5x}{6n^{2}\times 12n^{3}} b'\frac{1}{9xm} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Annulla mx fin-numeratur u d-denominatur.

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

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 2 u 3 biex tikseb 5.

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

Immultiplika 5 u 7 biex tikseb 35.

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

Immultiplika 6 u 9 biex tikseb 54.

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

Immultiplika 54 u 12 biex tikseb 648.

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

Iddifferenzja w.r.t. n

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