Question

(2/3)whole power 3*(2/3) whole power 3=(2/3)whole power n-2 find n​

Answer 1

Answer:

2/3) ^10* {(3/2) ^2} ^5=(2/3) ^2n-2

(2/3)^10*(3/2)^10= (2/3)^2n-2

(2/3)^10*(2/3)^(-10)= (2/3)^2n-2

(2/3)^(10–10)= (2/3)^2n-2

Comparing power now

2n-2= 0

2n=2

n= 2/2= 1 (ans.)

Formulas I used : a^n*a^m = a^(m+n).

(a^n)^m = a^n*m .

(a/b)^n = (b/a)^(-n) .