Issolvi frac{5d^{8}}{t^{2}}*4t^4/d^3div2d^6/t^5

$$\frac { 5 d ^ { 8 } } { t ^ { 2 } } \times \frac { 4 t ^ { 4 } } { d ^ { 3 } } \div \frac { 2 d ^ { 6 } } { t ^ { 5 } }$$

Evalwa

$$\frac{10t^{7}}{d}$$

Passi tas-Soluzzjonijiet

Immultiplika \frac{5d^{8}}{t^{2}} b'\frac{4t^{4}}{d^{3}} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{5d^{8}\times 4t^{4}}{t^{2}d^{3}}}{\frac{2d^{6}}{t^{5}}}$$

Annulla t^{2}d^{3} fin-numeratur u d-denominatur.

$$\frac{4\times 5t^{2}d^{5}}{\frac{2d^{6}}{t^{5}}}$$

Immultiplika 4 u 5 biex tikseb 20.

$$\frac{20t^{2}d^{5}}{\frac{2d^{6}}{t^{5}}}$$

Iddividi 20t^{2}d^{5} b'\frac{2d^{6}}{t^{5}} billi timmultiplika 20t^{2}d^{5} bir-reċiproku ta' \frac{2d^{6}}{t^{5}}.

$$\frac{20t^{2}d^{5}t^{5}}{2d^{6}}$$

Annulla 2d^{5} fin-numeratur u d-denominatur.

$$\frac{10t^{2}t^{5}}{d}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 2 u 5 biex tikseb 7.

$$\frac{10t^{7}}{d}$$

Iddifferenzja w.r.t. d

$$-\frac{10t^{7}}{d^{2}}$$