https://file.aiquickdraw.com/mathbot/file/1725809739961fj2qaaxc.jpg

The expression in the image is:

\[
(25x^2)^{-\frac{1}{2}}
\]

### Simplification:

To simplify this expression, we apply the following rules of exponents:

1. The general rule for exponents is: 
   \[
   (a^m)^n = a^{m \cdot n}
   \]
   
2. Applying this to the given expression:
   \[
   (25x^2)^{-\frac{1}{2}} = 25^{-\frac{1}{2}} \cdot (x^2)^{-\frac{1}{2}}
   \]

3. Now, simplify each part:
   - \( 25^{-\frac{1}{2}} = \frac

Simplify the expression (25x^2)^(-1/2) (Assume that x is positive).

Simplify the expression (25x^2)^(-1/2) with a detailed step-by-step solution. This problem involves exponentiation rules and radical simplification, suitable for students in Grades 9-12.

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