Let's solve the expression:

\[
\frac{(4.5 \times 10^8)}{9.0 \times 10^5 \times 0.5 \times 10^6}
\]

### Step 1: Simplify the denominator

First, simplify the denominator:
\[
9.0 \times 10^5 \times 0.5 \times 10^6 = 9.0 \times 0.5 \times 10^{5+6} = 4.5 \times 10^{11}
\]

### Step 2: Set up the division

Now the expression becomes:
\[
\frac{4.5 \times 10^8}{4.5 \times 10^{11}}
\]

### Step 3: Simplify the powers of 10

\[
\frac{4.5}{4.5} \times \frac{10^8}{10^{11}} = 1 \times 10^{8-11} = 10^{-3}
\]

So the result is:
\[
10^{-3} = 0.001
\]

Thus, the final answer is **0.001**.

Would you like more details on any of the steps?

Here are 5 related questions to expand your understanding:
1. How do powers of 10 simplify in multiplication and division?
2. What are some rules for exponents when multiplying and dividing numbers in scientific notation?
3. How can you estimate large numbers in scientific notation?
4. What are the benefits of using scientific notation for large calculations?
5. How would the result change if one of the terms had a negative exponent?

**Tip:** When working with scientific notation, simplify the base terms first before tackling the powers of 10!

Learn how to simplify the expression (4.5 * 10^8) / (9.0 * 10^5 * 0.5 * 10^6) using scientific notation and exponent rules. This solution breaks down the steps of simplifying both the numerator and the denominator, providing an in-depth explanation suitable for students in Grades 9-11.

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