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find the value offff
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given \[ 2^9 l^3 m^2 n^4= 3^7 \\ 2^3 l m^2= 3^9\] find \(l m n\) multiply the two expressions to get \[ 2^{12} l^4 m^4 n^4 = 3^{16} \\ (lmn)^4 = 3^{16}2^{-12} \] take the 4th root of both sides \[ lmn= 3^42^{-3}= \frac{81}{8} \]
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