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Step-by-step explanation:
9ⁿ × 3² × 3ⁿ = 3 ^( 2n) × 3^(n+2) = 3 ^ ( 3n+2)
Also, 27^(n) = 3^(3n)
the numerator is 3 ^ ( 3n+2) - 3^(3n) = 3^(3n) × ( 3^2 - 1 ) = 8 × 3^(3n)
the denominator is 8 × 3^(3m)
8 will be cancelled and we get 3^(3n-3m) = 3^(-3)
so , 3n-3m = -3 and by solving it, we get m-n = 1
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