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