Question

simplify (27)^2n/3*(8)^-n/6/(18)^-n/2 plz help​

Answer 1

Step-by-step explanation:

Given :

$({ {27} }^{ \frac{2n}{3} } \times {8}^{ \frac{ - n}{6} } ) \div {18}^{ \frac{ - n}{2} }$

$({ { {3}^{3}) } }^{ \frac{2n}{3} } \times {8}^{ \frac{ - n}{6} } ) \times {18}^{ \frac{ n}{2} }$

${ {3} }^{ 2n} \times {( {3}^{2} \times 2) }^{ \frac{ n}{2} } \times {( {2}^{3}) }^{ \frac{ - n}{6} }$

${ {3} }^{ 2n} \times {{3}^{2 \times \frac{n}{2} } \times 2 }^{ \frac{ n}{2} } \times {{2} }^{ \frac{ - n}{2} }$

${ {3} }^{ 2n + n} \times 2^{ \frac{ n}{2} - \frac{n}{2} }$

${3}^{3n} \times {2}^{0} = {3}^{3n} \times 1 = {3}^{3n}$

Hence, the answer is,

${3}^{3n}$

Answer 2

Answer:

hope this help

Step-by-step explanation:

... does it ....