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

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

Calcular

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

Pasos da solución

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

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

Calcula 10 á potencia de 20 e obtén 100000000000000000000.

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

Multiplica 199 e 100000000000000000000 para obter 19900000000000000000000.

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

Diferenciar w.r.t. G

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

Pasos que usan a definición dunha derivada

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

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

Calcula 10 á potencia de 20 e obtén 100000000000000000000.

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

Multiplica 199 e 100000000000000000000 para obter 19900000000000000000000.

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

A derivada de ax^{n} é nax^{n-1}.

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

Resta 1 de 1.

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

Para calquera termo t agás 0, t^{0}=1.

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

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

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