Question

find M (2/3)^-3×(2/3)8=(4/9)^(m-1)/2​

Answer 1

Answer:

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

Step-by-step explanation: