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5\sqrt5=5^1*5^{\frac{1}{5}}=5^{\frac{5+1}{5}}=5^{\frac{6}{5}}
2)
5\sqrt[3]5=5^1*5^{\frac{1}{3}}=5^{\frac{3+1}{3}}=5^{\frac{4}{3}}
3)
7\sqrt[4]7=7^1*7^{\frac{1}{4}}=7^{\frac{4+1}{4}}=7^{\frac{5}{4}}
4)
8\sqrt2=2^3*2^{\frac{1}{2}}=2^{3,5}
5)
25\sqrt[3]5=5^2*5^{\frac{1}{3}}=5^{\frac{6+1}{3}}=5^{\frac{7}{3}}
6)
2\sqrt8=2\sqrt{2^3}=2^1*2^{\frac{3}{2}}=2^{1+\frac{3}{2}}=2^{2,5}
7)
9\sqrt{27}=3^2\sqrt{3^3}=3^2*3^{\frac{3}{2}}=3^{2+1,5}=3^{3,5}