Question

2/3the whole power6 × 9/4the whole power 5 = 3/2 the whole power m+ 2 ......find value of m

Answer 1

take out the the final answers from the lhs and the rhs n then equal them. afterwards put m on rhs and rest of the m to the lhs and take out the value.

Answer 2

(2/3)^6×(9/4)^5=(3/2 )^m+2
(2/3)^6×(4/9)^-5=(3/2)^m+2
(2/3)^6×(2/3×2/3)^-5=(3/2)^m+2
(2/3)^6×(2/3)^-5×(2/3)=(2/3)^-(m+2)
(2/3)^6-5-5=(2/3)^-(m+2)
(2/3)^-4=(2/3)^-(m+2)
-4=-(m+2)
4=m+2
m=4-2
m=2
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