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The given expression is:

\[
\frac{x^{11}}{x^3}
\]

Using the properties of exponents, we can simplify the division of powers by subtracting the exponents. This gives:

\[
x^{11-3} = x^8
\]

Thus, the simplified form is:

\[
x^8
\]

Would you like further clarification or details on any part of this explanation?

Here are 5 related questions to expand your understanding:

1. How do you simplify expressions with variables raised to different powers?
2. What happens when the exponents in the numerator and denominator are equal?
3. How do you simplify expressions with negative exponents?
4. How do you handle expressions like \(\frac{x^{11}}{x^{-3}}\)?
5. How do the rules for exponents apply when multiplying powers with the same base?

**Tip:** Remember that when dividing powers with the same base, subtract the exponents.

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Understand how to simplify the expression x^11 / x^3 by applying the laws of exponents. This problem demonstrates the exponent subtraction rule, breaking down each step for students in Grades 6-8.

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