Resolver (x-3*10^2*4)div(9*10^2*8)

$$(x-3 \times { 10 }^{ 2 \times 4 } ) \div (9 \times { 10 }^{ 2 \times 8 } )$$

Calcular

$$\frac{x-300000000}{90000000000000000}$$

Pasos da solución

Multiplica 2 e 4 para obter 8.

$$\frac{x-3\times 10^{8}}{9\times 10^{2\times 8}}$$

Calcula 10 á potencia de 8 e obtén 100000000.

$$\frac{x-3\times 100000000}{9\times 10^{2\times 8}}$$

Multiplica 3 e 100000000 para obter 300000000.

$$\frac{x-300000000}{9\times 10^{2\times 8}}$$

Multiplica 2 e 8 para obter 16.

$$\frac{x-300000000}{9\times 10^{16}}$$

Calcula 10 á potencia de 16 e obtén 10000000000000000.

$$\frac{x-300000000}{9\times 10000000000000000}$$

Multiplica 9 e 10000000000000000 para obter 90000000000000000.

$$\frac{x-300000000}{90000000000000000}$$

Diferenciar w.r.t. x

$$\frac{1}{90000000000000000} = 1.111111111111111 \times 10^{-17}$$