To simplify the expression \( 512125\sqrt{3} \) using exponent properties, we first note the numerical part \( 512125 \).
However, it appears that you might have made a typo in the expression you provided since it is somewhat unclear. If you have a number \( 512125 \) and then you want to simplify it with \( \sqrt{3} \), it's not clear how to factor or express this using exponents.
If we consider the value \( \sqrt{3} \) and do not take any further steps with \( 512125 \) since it behaves as a constant, we can see that we simply focus on the options given, which do not link directly to a simplification of this specific expression.
In order to evaluate which of the responses you provided is an equivalent expression, I need clarity on how \( 512125 \) and \( \sqrt{3} \) relate in your context.
If you could confirm that, for example, you meant to provide a different expression or transformation involving \( \sqrt{3} \), we'll be able to proceed and find the correct equivalent expression.