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

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

Evaluate

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

Solution Steps

Multiply 2 and 4 to get 8.

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

Calculate 10 to the power of 8 and get 100000000.

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

Multiply 3 and 100000000 to get 300000000.

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

Multiply 2 and 8 to get 16.

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

Calculate 10 to the power of 16 and get 10000000000000000.

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

Multiply 9 and 10000000000000000 to get 90000000000000000.

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

Differentiate w.r.t. x

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