3^3 x 3 ^ (y-2) = 3 ^-2 , the value of y is

Your 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 :-

SOLUTION :-

Bases are same in both sides of equation. So , their powers must be equal to each other.

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step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.