3)
a) [tex]\sqrt[4]{3^{5} } = 3^{\frac{5}{4} }[/tex]
b) [tex]\sqrt[3]{2^{9} } = 2^{\frac{9}{3} }[/tex]
c) [tex]\sqrt[]{4^{7} } = 4^{\frac{7}{2} }[/tex]
d) [tex]\sqrt[]{6} = 6^{\frac{1}{2} }[/tex]
4)
[tex]2^{1} .2^{\frac{1}{2} } .2^{\frac{1}{3} } .2^{\frac{1}{6} }\\= 2 .\sqrt[2]{2} .\sqrt[3]{2} .\sqrt[6]{2} \\= 2 .\sqrt[2 . 3]{2} .\sqrt[3 . 2]{2} .\sqrt[6 . 1]{2} \\= 2 .\sqrt[2 . 3]{2^{3}} .\sqrt[3 . 2]{2^{2}} .\sqrt[6 . 1]{2^{1} } \\= 2 .\sqrt[6]{8} .\sqrt[6]{4} .\sqrt[6]{2} \\= 2.\sqrt[6]{8 . 4 . 2}\\= 2.\sqrt[6]{64}\\= 2.\sqrt[6]{2^{6} }\\= 2.2\\= 4[/tex]
5)
[tex]64^{\frac{1}{3}} + 7^{0} - 5 . 16^{0,5} \\64^{\frac{1}{3}} + 1 - 5 . 16^{\frac{5}{10} } \\\sqrt[3]{64} + 1 - 5 . \sqrt[10]{16^{5} } \\\sqrt[3]{64} + 1 - 5 . \sqrt[10]{16^{5} } \\\sqrt[3]{4^{3} } + 1 - 5 . \sqrt[10]{1048576 } \\4 + 1 - 5 . 4\\5 - 20\\-15[/tex]
A) - 15
