Question

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

Your answer​

Answer 1

y = -3

Explanation:

TO FIND :-

• Value of y

FACTS TO KNOW BEFORE SOLVING :-

A simple law of exponents which will be used to solve the problem :-

• 
  `x^a * x^b = x^(a+b)`.

SOLUTION :-

`3^3 * 3^((y-2)) = 3^(-2)`

`=> 3^(3+y-2) = 3^(-2)`

`=> 3^(y+1) = 3^(-2)`

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

`=> y + 1 = -2`

`=> y = -2 - 1 = -3`