The expression which is equivalent to the provided expression is Start Fraction 1 Over 125 y cubed End Fraction.
[tex]\dfrac{1}{125y^{3}}\\[/tex]
What is the equivalent expression?
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expression in the problem is,
[tex](5y)^{-3}[/tex]
Let the equivalent expression of the above expression is n. Thus,
[tex]n=(5y)^{-3}\\[/tex]
The number with negative power can be written in the denominator of number 1 with same but positive power.
[tex]n=\dfrac{1}{(5y)^{3}}\\n=\dfrac{1}{125y^{3}}\\[/tex]
Hence, the expression which is equivalent to the provided expression is Start Fraction 1 Over 125 y cubed End Fraction.
[tex]\dfrac{1}{125y^{3}}\\[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
