The value of 'r' in the given equation is 9, as per cube of a number.
What is the cube of a number?
If we multiply a number two times with the same number, then the result is called the cube of the first number.
If a number is 'x' and we multiply it with 'x' two times, then the result will be 'x³'. Here, 'x³' is the cube of 'x'.
The given equation is:
[tex]5^{r/3} = 125[/tex]
⇒ [tex](5^{r/3})^{3} = (125)^{3}[/tex]
⇒ [tex](5^{r}) = (5)^{9}[/tex]
⇒ r = 9
Learn more about cube of a number here: https://brainly.com/question/17727841
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