https://file.aiquickdraw.com/mathbot/file/1725755824312y5qfkac2.jpg

The problem in the image asks for the simplification of the expression \( p^{13/5} \) into a radical form. Let's break this down:

### Expression: \( p^{13/5} \)

This can be rewritten in radical form as:
\[
p^{\frac{13}{5}} = \sqrt[5]{p^{13}}.
\]

So, the expression simplifies to the fifth root of \( p^{13} \).

### Correct Answer:
The correct choice is the one that matches \( \sqrt[5]{p^{13}} \).

If you need any further details or have questions, feel free to ask!

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Here are some related questions that could deepen your understanding:

1. How do you convert fractional exponents to radical form?
2. What is the general rule for converting \( x^{m/n} \) into radical form?
3. How would the expression change if the exponent were \( p^{7/3} \)?
4. Can \( p^{13/5} \) be simplified further under specific conditions?
5. What happens if the exponent is negative, like \( p^{-13/5} \)?

### Tip:
Remember, fractional exponents can always be thought of in terms of radicals where the denominator is the root and the numerator is the power.

Prove that p^(13/5) as a radical is equivalent to which of the following options?

Learn how to convert the expression p^(13/5) into radical form. This problem focuses on algebraic concepts of fractional exponents and radicals, with a detailed explanation and step-by-step breakdown. Suitable for high school students in Grades 9-12.

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