Answer :

Dead3ill

Answer:

y = -3

Step-by-step explanation:

TO FIND :-

  • Value of y

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]

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