https://file.aiquickdraw.com/mathbot/file/17301188447059afxlzb4.jpg

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:
\[
125 = 5^3 \Rightarrow 125^{\frac{1}{4}} = 5^{\frac{3}{4}}
\]



Solve the expression 125^(3/4) ÷ 25^(-1) × (-5)^3

This solution walks through evaluating the expression 125^(3/4) ÷ 25^(-1) × (-5)^3 using properties of exponents and fractional exponents. Suitable for high school students in Grades 10-12, the solution provides a step-by-step breakdown of each component.

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