https://file.aiquickdraw.com/mathbot/file/1729179202472l6z7cm7p.jpg

The expression shown in the image is:

\[
\frac{x^3 \cdot x^8 \cdot x^6}{x^4 \cdot x^2 \cdot x^2}
\]

To simplify this expression, we follow these steps:

### Step 1: Simplify the Numerator
Multiply the powers of \( x \) in the numerator:
\[
x^3 \cdot x^8 \cdot x^6 = x^{3 + 8 + 6} = x^{17}
\]

### Step 2: Simplify the Denominator
Multiply the powers of \( x \) in the denominator:
\[
x^4 \cdot x^2 \cdot x^2 = x^{4 + 2 + 2} = x^8
\]

### Step 3: Divide the Powers
Now, divide the simplified numerator by the simplified denominator:
\[
\frac{x^{17}}{x^8} = x^{17 - 8} = x^9
\]

### Final Answer
\[
x^9
\]

Would you like any further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How do you multiply powers of the same base?
2. What happens when you divide powers with the same base?
3. Can you simplify an expression like \( \frac{x^5 \cdot x^3}{x^7} \)?
4. How do you handle expressions with negative exponents?
5. What is the rule for zero exponents in expressions like \( x^0 \)?

**Tip:** When multiplying terms with the same base, simply add the exponents; when dividing, subtract the exponents.

Simplify the expression: (x^3 * x^8 * x^6) / (x^4 * x^2 * x^2).

Learn how to simplify the expression (x^3 * x^8 * x^6) / (x^4 * x^2 * x^2) step-by-step. This problem introduces key exponent rules and algebraic concepts. Suitable for students in Grades 7-9.

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