Rešite G199*10^30/459*10^10

$$G \frac { 199 \times 10 ^ { 30 } } { 459 \times 10 ^ { 10 } }$$

Ovrednoti

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

Koraki rešitve

Okrajšaj 10^{10} v števcu in imenovalcu.

$$G\times \frac{199\times 10^{20}}{459}$$

Izračunajte potenco 10 števila 20, da dobite 100000000000000000000.

$$G\times \frac{199\times 100000000000000000000}{459}$$

Pomnožite 199 in 100000000000000000000, da dobite 19900000000000000000000.

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

Odvajajte w.r.t. G

$$\frac{19900000000000000000000}{459} = 4,335511982570806 \times 10^{19}\frac{302}{459} = 4,335511982570806 \times 10^{19}$$

Koraki z uporabo definicije odvoda

Okrajšaj 10^{10} v števcu in imenovalcu.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{199\times 10^{20}}{459})$$

Izračunajte potenco 10 števila 20, da dobite 100000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{199\times 100000000000000000000}{459})$$

Pomnožite 199 in 100000000000000000000, da dobite 19900000000000000000000.

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

Odvod ax^{n} je nax^{n-1}.

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

Odštejte 1 od 1.

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

Za kakršen koli izraz t, razen 0, t^{0}=1.

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

Za kakršen koli izraz t, t\times 1=t in 1t=t.

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