Question

Find the value of m-(2/3)^6×(9/4)^5=(3/2)^m+2

Answer 1

Answer

m=2

EXPLAINATION

(2/3)^6×(9/4)^5=(3/2)^m+2

(3/2)^-6×{(3/2)^2}^5=(3/2)^m+2

(3/2)^-6×(3/2)^2×5=(3/2)^m+2

(3/2)^-6×(3/2)^10=(3/2)^m+2

(3/2)^(-6+10)=(3/2)^m+2

(3/2)^4=(3/2)^m+2

comparing power

4=m+2

m=4-2

m=2

Hence value of m is 2