The problem is to divide two numbers expressed in scientific notation: $\frac{4 \times 10^{10}}{2 \times 10^8}$.

1. Problem Description

The problem is to divide two numbers expressed in scientific notation: $\frac{4 \times 10^{10}}{2 \times 10^8}$.

2. Solution Steps

To divide the two numbers in scientific notation, we divide the coefficients and subtract the exponents of

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0. $$ \frac{4 \times 10^{10}}{2 \times 10^8} = \frac{4}{2} \times \frac{10^{10}}{10^8} $$

Divide the coefficients:

$$\frac{4}{2} = 2$$

Divide the powers of 10:

$$\frac{10^{10}}{10^8} = 10^{10-8} = 10^2$$

Therefore,

$$\frac{4 \times 10^{10}}{2 \times 10^8} = 2 \times 10^2$$

3. Final Answer

$2 \times 10^2$