The question asks if the quotient of $9.2 \times 10^8$ and $4 \times 10^{-3}$ is equal to $2.3 \times 10^5$, and the task is to choose the correct explanation based on this.

Step-by-Step Calculation:

We are given: $\frac{9.2 \times 10^8}{4 \times 10^{-3}}$

1. Divide the coefficients: $\frac{9.2}{4} = 2.3$

2. Apply the law of exponents: When dividing powers with the same base, we subtract the exponents: $10^8 - (-3) = 10^{8 + 3} = 10^{11}$

Thus, the result of the division is: $2.3 \times 10^{11}$

Conclusion:

The answer is not $2.3 \times 10^5$, but rather $2.3 \times 10^{11}$.

So, the correct choice is D:

No. When dividing exponents with the same base, you keep the base and subtract the exponents. The exponent for this expression would be $10^{8 - (-3)}$ or $10^{11}$.

Would you like any further details?

Here are 5 related questions for deeper understanding:

1. What is the rule for multiplying exponents with the same base?
2. How does division of exponents differ from multiplication in terms of the exponent rule?
3. Can you explain the concept of negative exponents and how they affect division?
4. What happens when you divide numbers with different bases?
5. How would the result change if the base was not 10 but another number?

Tip: Always keep the laws of exponents handy, as they help in simplifying complex expressions easily.