Answer:
n = 10
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
([tex]y^{20}[/tex] ) ([tex](y^{-5}) ^{2}[/tex]
= [tex]y^{20}[/tex] × [tex]y^{-10}[/tex]
= [tex]y^{(20-10)}[/tex]
= [tex]y^{10}[/tex] → in the form [tex]y^{n}[/tex] with n = 10
