Răspuns:
a)
[tex]( \sqrt{3.5} )^{5} = (\sqrt{ \frac{35}{10} } )^{5} = (\sqrt{ \frac{7}{2} } )^{5} = (\frac{ \sqrt{7} }{ \sqrt{2} } )^{5} = (\frac{ \sqrt{14} }{2} )^{5} = \frac{196 \sqrt{14} }{32} = \frac{49 \sqrt{14} }{8} [/tex]
[tex] \frac{49 \sqrt{14} }{8} \times \frac{8 \sqrt{2} }{49 \sqrt{7} } = 8 \sqrt{2} \times \sqrt{2} = 16[/tex]
b)
[tex] \frac{25 \sqrt{5} }{81} \times \frac{81}{25} = \sqrt{5} [/tex]
c)
[tex] \frac{49 \sqrt{7} }{64} \div \sqrt({ \frac{7}{8} } )^{4} = \frac{49 \sqrt{7} }{64} \times \frac{64}{49} = \sqrt{7} [/tex]
d)
[tex]( \sqrt{ \frac{5}{3} } )^{6} \times \frac{9 \sqrt{3} }{125} = \frac{125}{27} \times \frac{9 \sqrt{3} }{125} = \frac{ \sqrt{3} }{3} [/tex]
