To divide the two numbers in scientific notation, follow these steps:

Given:

$\frac{2.8 \cdot 10^{10}}{4 \cdot 10^{-14}}$

1. Divide the coefficients:

$\frac{2.8}{4} = 0.7$

2. Subtract the exponents:

$10^{10} - (-14) = 10^{10 + 14} = 10^{24}$

3. Combine the results:

$0.7 \cdot 10^{24}$

4. Express in proper scientific notation:

Since $0.7$ is not between 1 and 10, adjust it by moving the decimal point one place to the right, increasing the exponent by 1:

$7.0 \cdot 10^{23}$

So, the final answer in scientific notation is:

$\boxed{7.0 \cdot 10^{23}}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you multiply two numbers in scientific notation?
2. What happens to the exponents when you divide in scientific notation?
3. How do you convert a number like $0.7 \times 10^{24}$ to proper scientific notation?
4. Why is scientific notation useful in representing very large or small numbers?
5. How do you add or subtract numbers in scientific notation?

Tip: When working with scientific notation, always ensure the coefficient is between 1 and 10 to maintain proper form.