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A melhor resposta!
2014-03-25T15:46:43-03:00
a~\to~16\\x~\to~1,25

a^x

veja que 1,25 é 5/4

16^{ \frac{5}{4} }~\to~ \sqrt[4]{16^5} ~\to~ \sqrt[4]{1048756}

Fatorando o 1048756

1048756/2
524288/2
262144/2
131072/2
65536/2
32768/2
16384/2
8192/2
4096/2
2048/2
1024/2
512/2
256/2
128/2
64/2
32/2
16/2
8/2
4/2
2/2
1

2^4.2^4.2^4.2^4.2^4

\boxed{\boxed{ \sqrt[4]{2^4.2^4.2^4.2^4.2^4} ~\to~2.2.2.2.2~\to~32}}
2 3 2