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The given expression is \( 5^{\log_5 5} \).

To express this in index form, we apply a logarithmic property that states:

\[
a^{\log_a x} = x
\]

In this case, \( a = 5 \) and \( x = 5 \), so the expression simplifies as follows:

\[
5^{\log_5 5} = 5
\]

Thus, the expression in index form is simply **5**.

Would you like further details on logarithmic properties, or do you have any other questions?

Here are some related questions to explore:

1. What is the general rule for simplifying \( a^{\log_a x} \)?
2. How does changing the base affect logarithmic expressions like this?
3. Can logarithms with different bases be simplified similarly?
4. What is the definition of a logarithm, and how does it relate to exponents?
5. How can we apply logarithmic rules to solve more complex expressions?

**Tip**: Always remember that \( a^{\log_a x} \) equals \( x \), making this a powerful simplification tool.

Understand how to simplify the expression 5^(log_5 5) using logarithmic properties. Learn about the key logarithmic identity a^(log_a x) = x and how it helps in simplifying this expression to its index form. Suitable for high school students in Grades 9-12.

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