Looking at the nature of the expression as written in the question we have; [tex]5^{-3} = \frac{1}{125}[/tex].
What is index?
The term index the term index refers to the power to which a number is raised. In this case, we can see that the number 5 is raised to the power of negative 2 and negative 1 respectively.
We can write it mathematically as;
[tex]5^{-2} * 5^{-2}[/tex] = [tex]5^{-3}[/tex]
We can now write this value as;
[tex]5^{-3} = \frac{1}{125}[/tex]
Learn more about index:https://brainly.com/question/14297987
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