Question

calcule o valor de:
a) [(√3)^√2]^√2
b) (3^√3*2^√27)^√3
c) 1^√5+0^π

Answer 1

$a)\\\left(\sqrt{3}^{\sqrt{2}}\right)^{\sqrt{2}}\\\\\left(\sqrt{3}\right)^{\sqrt{2}^2}\\\\\sqrt{3}^{2}\\\\3$

$b)\\\left(3^{\sqrt{3}}\;.\;2^{\sqrt{27}}\right)^{\sqrt{3}}\\\\\left(3^{\sqrt{3}}\right)^{\sqrt{3}}\;.\;\left(2^{\sqrt{27}}\right)^{\sqrt{3}}\\\\3^{\sqrt{3}^2}\;.\;2^{\sqrt{27\;.\;3}}\\\\3^3\;.\;2^{\sqrt{81}}\\\\27\;.\;2^9\\\\27\;.\;512\\\\13824$

$c)\\1^{\sqrt{5}}+0^\pi\\\\1+0\\\\1$