The expression is:

\[
\frac{12x^8}{9x^8}
\]

You can simplify this by dividing both the coefficients and the \(x^8\) terms separately.

1. Coefficients: 
   \[
   \frac{12}{9} = \frac{4}{3}
   \]
   
2. Exponents: 
   Since \(x^8\) is present in both the numerator and the denominator, they cancel out:
   \[
   \frac{x^8}{x^8} = 1
   \]

Thus, the simplified expression is:

\[
\frac{4}{3}
\]

Would you like a detailed explanation or have any further questions?

Here are 5 related questions:
1. How do you simplify expressions with variables and exponents?
2. What is the process for dividing fractions with variables?
3. How do you simplify expressions when the exponent terms are different?
4. What is the meaning of cancelling out terms in a fraction?
5. Can you simplify more complex expressions involving multiple variables?

**Tip:** Always simplify both the coefficients and the variables separately when dealing with fractions that involve exponents.

Explore the step-by-step process of simplifying the rational expression 12x^8 ÷ 9x^8. This problem demonstrates key algebraic concepts, including simplifying coefficients and cancelling out exponents, suitable for students in Grades 6-8.

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