https://file.aiquickdraw.com/mathbot/file/1726496924884xqe7ymit.jpg

The expression in the image is \( 25^{\frac{1}{2}} \), which means "the square root of 25."

We can evaluate this as follows:

\[
25^{\frac{1}{2}} = \sqrt{25} = 5
\]

Thus, \( 25^{\frac{1}{2}} = 5 \).

Would you like further clarification or details on this?

Here are 5 related questions to explore:

1. What is the meaning of fractional exponents?
2. How can we generalize \( a^{\frac{1}{n}} \) for any value of \( n \)?
3. How can we solve expressions with negative fractional exponents?
4. What is the cube root of a number, such as \( 27^{\frac{1}{3}} \)?
5. How do you solve \( x^n = a \) for real numbers?

**Tip**: When dealing with fractional exponents, remember that \( a^{\frac{1}{n}} \) represents the \( n \)-th root of \( a \).

Learn how to evaluate 25^(1/2), which involves understanding fractional exponents and square roots. This step-by-step guide explains key concepts in algebra, including the square root theorem. Suitable for students in Grades 6-8.

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