Question

a vale 16 e x vale 1,25. quanto vale a elevado a 1,25

Answer 1

$a~\to~16\\x~\to~1,25$

$a^x$

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

$2^4.2^4.2^4.2^4.2^4$

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