Question

alguém me ajuda nesta questão de propriedades!!!

Answer 1

Resposta:

$2^{1/2}$ ou $\sqrt{2}$

Explicação passo-a-passo:

$(0,25)^{1/4}.(0,125)^{1/2}.\sqrt{32} \\(25/100)^{1/4}.(125/1000)^{1/2}.32^{1/2}\\(1/4)^{1/4}.(1/8)^{1/2}.2^{5.(1/2)}\\4^{-1/4}.8^{-1/2}.2^{5/2}\\2^{2.(-1/4)}.2^{3.(-1/2)}.2^{5/2}\\2^{-1/2}.2^{-3/2}.2^{5/2}\\2^{(-1/2) + (-3/2) + 5/2}\\2^{-4/2+5/2}\\2^{-2+5/2}\\2^{-4+5/2}\\2^{1/2}$

Dúvidas só perguntar.