Divide and write answer in scientific notation: $$ \frac{\left(2.8\cdot10^{10}\right)}{\left(4\cdot10^{-14}\right)} $$

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.

Learn how to divide numbers in scientific notation: (2.8e10) divided by (4e-14). Follow a step-by-step solution to understand the process of dividing coefficients and subtracting exponents in scientific notation. Suitable for high school students studying advanced mathematical notation.

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