The expression in the image is:

$\frac{125^{\frac{3}{4}}}{25^{-1}} \times (-5)^3$

Let's break down and solve each part of this expression.

Step 1: Evaluate $125^{\frac{3}{4}}$

The fractional exponent $\frac{3}{4}$ can be interpreted as: $125^{\frac{3}{4}} = \sqrt[4]{125^3}$

First, find the fourth root of 125: $125 = 5^3 \Rightarrow 125^{\frac{1}{4}} = 5^{\frac{3}{4}}$