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The question asks to rewrite the function \( f(x) = \frac{1}{x^{11}} \) as a function with a negative power.

### Solution:

Using the property of exponents: 
\[
\frac{1}{x^n} = x^{-n}
\]
where \(n\) is a positive integer.

So, we can rewrite \( f(x) = \frac{1}{x^{11}} \) as:
\[
f(x) = x^{-11}
\]

Thus, the answer is \( f(x) = x^{-11} \).

Would you like more details or have any other questions?

Here are some related questions to explore:
1. How do negative exponents affect the function graph?
2. What is the derivative of \( f(x) = x^{-11} \)?
3. How do you simplify expressions with negative exponents?
4. Can you rewrite \( f(x) = \frac{1}{x^{11}} \) with a fractional exponent?
5. How do negative exponents impact the domain of the function?

**Tip:** Remember, negative exponents represent reciprocals, making expressions easier to manipulate algebraically.

Rewrite f(x) = 1 / x^11 as a function with a negative power.

Learn how to rewrite the function f(x) = 1/x^11 as a function with a negative exponent. This problem covers key concepts in exponents, including using the property 1/x^n = x^(-n). Suitable for students in Grades 8-10.

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