If `(9^n\ xx\ 3^2\ xx\ (3^(-n/2))^(-2)-\ 27^n)/(3^(3m)\ xx\ 2^3)=1/(27)` , prove that `m-n=1`

Explanation

To solve the equation

\[ \frac{9^n \cdot 3^2 \cdot (3^{-\frac{n}{2}})^{-2} - 27^n}{3^{3m} \cdot 2^3} = \frac{1}{27} \]

and prove that \( m - n = 1 \), we will follow these steps:

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