By using exponent properties, we will see that the expression is equivalent to:
[tex]y^{10}[/tex]
Here you need to remember two properties:
[tex]y^n*y^m = y^{n + m}[/tex]
[tex](y^n)^m = y^{n*m}[/tex]
Then we can rewrite our expression:
[tex]y^{20}*(y^{-5})^2[/tex]
as:
[tex]y^{20}*(y^{-5})^2 = y^{20}*y^{-5*2} = y^{20}*y^{-10} = y^{20 - 10} = y^{10}[/tex]
So the value of n is 10.
If you want to learn more about exponents, you can read:
https://brainly.com/question/11464095
