Math, asked by sabin6, 1 year ago

27to the power 2n/3*8to the power-n/6 divided by18to the power -n/6

Answers

Answered by Swarup1998
101
♧♧HERE IS YOUR ANSWER♧♧

 \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} }

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Answered by kanimesh2013
11

3^7/n*2^-n/2.

this is the answer

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