To simplify the expression:

\[
\frac{13^{7/5}}{13^{-7/5}}
\]

We can apply the rule of exponents, which states that:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

So:

\[
\frac{13^{7/5}}{13^{-7/5}} = 13^{7/5 - (-7/5)} = 13^{7/5 + 7/5} = 13^{14/5}
\]

Thus, the simplified expression is:

\[
13^{14/5}
\]

Would you like more details or have any questions about this?

Here are 5 related questions:
1. How do you simplify expressions with exponents involving fractions?
2. What are the rules of exponents for multiplying and dividing powers?
3. How would you simplify \( (13^{7/5})^2 \)?
4. How does the concept of negative exponents work?
5. Can you explain how to convert fractional exponents to radicals?

**Tip:** Always remember that negative exponents represent the reciprocal of the base raised to the positive exponent!

This article explains how to simplify the expression 13^(7/5) / 13^(-7/5) using exponent rules. The solution involves applying the division of powers rule and simplifying negative exponents. Suitable for students in Grades 9-11.

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