Issolvi G1.99*10^30/4.59*10^10

$$G \frac { 1.99 \times 10 ^ { 30 } } { 4.59 \times 10 ^ { 10 } }$$

Evalwa

$$\frac{19900000000000000000000G}{459}$$

Passi tas-Soluzzjonijiet

Annulla 10^{10} fin-numeratur u d-denominatur.

$$G\times \frac{1.99\times 10^{20}}{4.59}$$

Ikkalkula 10 bil-power ta' 20 u tikseb 100000000000000000000.

$$G\times \frac{1.99\times 100000000000000000000}{4.59}$$

Immultiplika 1.99 u 100000000000000000000 biex tikseb 199000000000000000000.

$$G\times \frac{199000000000000000000}{4.59}$$

Espandi \frac{199000000000000000000}{4.59} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$G\times \frac{19900000000000000000000}{459}$$

Iddifferenzja w.r.t. G

$$\frac{19900000000000000000000}{459} = 4.335511982570806 \times 10^{19}\frac{302}{459} = 4.335511982570806 \times 10^{19}$$

Passi għall-Użu ta' Definizzjoni ta' Dervattiv

Annulla 10^{10} fin-numeratur u d-denominatur.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{1.99\times 10^{20}}{4.59})$$

Ikkalkula 10 bil-power ta' 20 u tikseb 100000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{1.99\times 100000000000000000000}{4.59})$$

Immultiplika 1.99 u 100000000000000000000 biex tikseb 199000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{199000000000000000000}{4.59})$$

Espandi \frac{199000000000000000000}{4.59} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{19900000000000000000000}{459})$$

Id-derivattiv ta' ax^{n} huwa nax^{n-1}.

$$\frac{19900000000000000000000}{459}G^{1-1}$$

Naqqas 1 minn 1.

$$\frac{19900000000000000000000}{459}G^{0}$$

Għal kwalunkwe terminu t ħlief 0, t^{0}=1.

$$\frac{19900000000000000000000}{459}\times 1$$

Għal kwalunkwe terminu t, t\times 1=t u 1t=t.

$$\frac{19900000000000000000000}{459}$$