Simplify:

$2 [6 + 4 {m - 6 (7 - ¯ ¯¯¯¯¯¯¯¯¯¯¯ ¯ n + p) + q}]$

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Solution

$2 [6 + 4 {m - 6 (7 - ¯ ¯¯¯¯¯¯¯¯¯¯¯ ¯ n + p) + q}] = 2 [6 + 4 {m - 6 (7 - n + p) + q}] = 2 [6 + 4 {m - 42 + 6 n + 6 p + q}] = 2 [6 + 4 m - 168 + 24 n + 24 p + 4 q] = 2 [4 m + 24 n + 24 p + 4 q - 162] = 8 m + 48 n + 48 p + 8 q - 324$

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2 [6 + 4 {m - 6 (7 - ¯ ¯¯¯¯¯¯¯¯¯¯¯ ¯ n + p) + q}]

8 m + 48 n + 48 p + 8 q - 324

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\frac{{3.2}^{n} - {4.2}^{n}}{2^{n} - 2^{n - 1}} + {\frac{a^{p - q}}{\sqrt[q]{a^{q^{2} - p q}}} \times a^{- 2 (p - q)}}^{n}

{⎧ ⎨ ⎩ \frac{a^{p - q}}{\sqrt[q]{a^{q^{2} - p q}}} \times a^{2 (q - p)} ⎫ ⎬ ⎭}^{n}

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