https://file.aiquickdraw.com/mathbot/file/1725931628813kk4q2ie5.jpg

The expression in the image is:

\[
\left( \frac{3^9}{3^{-5}} \right)
\]

### Simplifying the expression:

Using the property of exponents: 

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

This gives:

\[
3^{9 - (-5)} = 3^{9 + 5} = 3^{14}
\]

Thus, the simplified expression is:

\[
3^{14}
\]

This is the correct answer, with only positive exponents.

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Do you have any questions or want more details?

Here are five related questions to further explore the concept:

1. How would you simplify \(\frac{2^8}{2^{-3}}\)?
2. What is the rule for multiplying powers of the same base with exponents?
3. How do you handle negative exponents in expressions?
4. What is the simplified form of \(\frac{5^{-2}}{5^3}\)?
5. How do fractional exponents work?

**Tip:** When you have negative exponents, you can flip them to the opposite side of the fraction to make them positive.

Simplify the expression (3^9 / 3^-5) so that there are only positive exponents.

Learn how to simplify the exponential expression (3^9 / 3^-5) using properties of exponents to achieve only positive exponents. Step-by-step explanation provided. Suitable for Grades 7-9.

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