(27)^2n/3×(8)^-n/6/(18)^-n/2
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\begin{lgathered}\frac{ {27}^{ \frac{2n}{3} } \times {8}^{ - \frac{n}{6} } }{ {18}^{ - \frac{n}{6} } } \\ \\ = \frac{ { ({3}^{3} )}^{ \frac{2n}{3} } \times {( {2}^{3} )}^{ - \frac{n}{6} } }{ {( {3}^{2} \times 2) }^{ - \frac{n}{6} } } \\ \\ = \frac{ {3}^{2n} \times {2}^{ - \frac{n}{2} } }{ {3}^{ - \frac{n}{3} } \times {2}^{ - \frac{n}{6} } } \\ \\ = {3}^{(2n + \frac{n}{3}) } \times {2}^{( - \frac{n}{2} + \frac{n}{6} )} \\ \\ = {3}^{ \frac{7n}{3} } \times {2}^{ - \frac{n}{3} }\end{lgathered}
18
−
6
n
27
3
2n
×8
−
6
n
=
(3
2
×2)
−
6
n
(3
3
)
3
2n
×(2
3
)
−
6
n
=
3
−
3
n
×2
−
6
n
3
2n
×2
−
2
n
=3
(2n+
3
n
)
×2
(−
2
n
+
6
n
)
=3
3
7n
×2
−
3
n
♧♧HOPE THIS HELPS YOU♧♧
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