Question

answer this question on time​

Answer 1

Step-by-step explanation:

Dude its very easy... just follow my steps...

$= \frac{ {27}^{3n + 1} }{ {9}^{n + 5} } \times \frac{ {81}^{ - n} }{ {3}^{3n - 7} }$

$= \frac{ {3}^{3(3n + 1)} }{ {3}^{2(n + 5)} } \times \frac{ {3}^{4( - n)} }{ {3}^{3n - 7} }$

using,

${a}^{m \times (n)} = {a}^{mn}$

$=\frac{ {3}^{9n + 3} }{ {3}^{2n + 10} } \times \frac{ {3}^{ - 4n} }{ {3}^{3n - 7} }$

${a}^{m} \div {a}^{n} = {a}^{m - n}$

using the above formula

$= {3}^{9n + 3 - 2n - 10} \times {3}^{ - 4n - 3n + 7}$

$= {3}^{7n - 7} \times {3}^{ -7n + 7}$

$= {3}^{7n - 7n - 7 + 7}$

$= {3}^{0}$

$= 1$

Hope it helps you buddy....

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