Resposta:
Letra A
Explicação passo a passo:
[tex]I ) \to Falsa\\ \\ (2^4)^{1\over2}=2^{4\over2}=2^2=4\\\\ \\ II \to Falsa\\ \\ \dfrac{3\sqrt{12}}{2}=\dfrac{3\sqrt{2^2.3} }{2}=\dfrac{3.\not2\sqrt{3}}{\not2}=3\sqrt{3}[/tex]
[tex]III\to Verdadeira\\ \\ (2\sqrt{3} )^{-1}=\dfrac{1}{2\sqrt{3} }=\dfrac{\sqrt{3}}{2.\sqrt{3} .\sqrt{3} }=\dfrac{\sqrt{3} }{2\sqrt{9} }=\dfrac{\sqrt{3} }{2.3}=\boxed{\dfrac{\sqrt{3} }6}}[/tex]
