if 9^n ×3^2×(3^n/2)^-2-(27)^n=1/27 then prove that m-n =1
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Answer and Step-by-step explanation:( your questions incomplete so i wrote it again in my answer)
9ⁿ×3²×(3ⁿ÷²)⁻² - 27ⁿ / 3³^m×2³ =1/27
3²ⁿ×3²×3ⁿ - 27ⁿ / 3³^m × 2³ = 1/27
3³ⁿ+²-3³ⁿ / 3³^m × 2³= 1/3³
3³ⁿ(9-1) / 3³^m(8)= 3⁻³
3³ⁿ⁻³^m=3⁻³
3n-3m = -3
3(n-m)=-3
n-m = -1
m-n = 1
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