Question

simplifique essas expressões da foto. VALENDO 50 PONTOS

Answer 1

Resposta:

$a)\\ \sqrt[4]{3} .\sqrt[4]{27} =\sqrt[4]{3.27} =\sqrt[4]{81} =\sqrt[4]{3^4} =3\\ \\ b)\\ \sqrt[3]{16} \div\sqrt[3]{2} =\sqrt[3]{16\div2} =\sqrt[3]{8} =\sqrt[3]{2^3} =2\\ \\ c)\\ \sqrt[4]{4} =\sqrt[4]{2^2} =\sqrt[4:2]{2^{2:2}} =\sqrt{2}$

$d)\\ \sqrt[3]{{1\over5^3}} ={1\over3}\\ \\ e)\\ (\sqrt[5]{3^{10}} =\sqrt[5]{3^5.3^5} =3.3=9\\ \\ f)\\ \sqrt[3]{\sqrt{2^3} } =\sqrt[3.2]{2^3} =\sqrt[6]{2^3} =\sqrt[6:3]{2^{3:3}} =\sqrt{2}$

Answer 2

Resposta:

a) =3^(1/4+3/4)=3

b) =2^(4/3-1/3) =2

c) =2^(2/4) =2^(1/2)

d) =(1/5³)^(1/3) =1/5

e) = 3^(10/5) =3²=9

f) = [2^(3/2)]^(1/3) =2^(3/6) =2^(1/2)