Răspuns:
a) 4
b) 1/2
c) 81/625
d) 4
e) 6x²y⁸
Explicație pas cu pas:
a) [tex](\sqrt[3]{2} )^{6} = 2^{\frac{6}{3} } = 2^{2} = 4[/tex]
b) [tex](\sqrt[4]{(\frac{1}{2})^{2} } )^{2} = (\frac{1}{2} )^{\frac{4}{4} } = \frac{1}{2} [/tex]
c) [tex](\sqrt[5]{(\frac{3}{5})^{2} } )^{10} = (\frac{3}{5} )^{\frac{20}{5} } = (\frac{3}{5} )^{4} = \frac{81}{625} [/tex]
d) [tex]\sqrt[3]{4\sqrt{256} } = \sqrt[3]{4*16} = \sqrt[3]{64} = \sqrt[3]{2^{6} } = 2^{\frac{6}{3} } = 2^{2} = 4[/tex]
e) [tex]\sqrt{\sqrt{1296x^{8}y^{32} } } = \sqrt[4]{6^{4} } * \sqrt[4]{x^{8} } *\sqrt[4]{y^{32} } = 6*x^{\frac{8}{4} } * y^{\frac{32}{4} } = 6x^{2} y^{8} [/tex]
