If 6^n = 1296, Find 6^(n−3)

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Q. If \( 6^n = 1296 \), find \( 6^{n-3} \)

✏️ Solution

\( 1296 = 6^4 \)

\( \therefore 6^n = 6^4 \)

\( \Rightarrow n = 4 \)

\( 6^{n-3} = 6^{4-3} \)

\( = 6^1 \)

\( = 6 \)

Final Answer: \( \boxed{6} \)

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