Question

Considerando a expressão (6ª.6ª.2ª.3ª)² = 46.656 concluímos que o valor numérico de "a" é igual a?? por favor, me ajudem ​

Answer 1

$\left(6^a~.~6^a~.~2^a~.~3^a\right)^2~=~46656\\\\\\\left((6~.~6~.~2~.~3)^a\right)^2~=~46656\\\\\\\left((216)^a\right)^2~=~46656\\\\\\\left(216\right)^{2a}~=~216^2\\\\\\2a~=~2\\\\\\a~=~\frac{2}{2}\\\\\\\boxed{a~=~1}$