Resolver G199*10^30/459*10^10

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

Avaliar

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

Passos Para a Resolução

Anule 10^{10} no numerador e no denominador.

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

Calcule 10 elevado a 20 e obtenha 100000000000000000000.

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

Multiplique 199 e 100000000000000000000 para obter 19900000000000000000000.

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

Calcular a diferenciação com respeito a G

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

Passos Para Utilizar a Definição de Uma Derivada

Anule 10^{10} no numerador e no denominador.

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

Calcule 10 elevado a 20 e obtenha 100000000000000000000.

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

Multiplique 199 e 100000000000000000000 para obter 19900000000000000000000.

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

A derivada da ax^{n} é nax^{n-1}.

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

Subtraia 1 de 1.

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

Para qualquer termo t , exceto 0, t^{0}=1.

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

Para qualquer termo t, t\times 1=t e 1t=t.

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