Answer:
y = -3
Step-by-step explanation:
TO FIND :-
FACTS TO KNOW BEFORE SOLVING :-
A simple law of exponents which will be used to solve the problem :-
- [tex]x^a \times x^b = x^{a+b}[/tex].
SOLUTION :-
[tex]3^3 \times 3^{(y-2)} = 3^{-2}[/tex]
[tex]=> 3^{3+y-2} = 3^{-2}[/tex]
[tex]=> 3^{y+1} = 3^{-2}[/tex]
Bases are same in both sides of equation. So , their powers must be equal to each other.
[tex]=> y + 1 = -2[/tex]
[tex]=> y = -2 - 1 = -3[/tex]
