[tex] \fn_cm \sqrt[10]{1000}\approx 2 , \sqrt[2]{1000}\approx 32 , \sqrt[5]{1000}\approx 4[/tex]
[tex] \fn_cm \sqrt[9]{500}\approx 2 , \sqrt[3]{500}\approx 8[/tex]

[tex]\large \fn_cm 10^{0.1}=10^{\frac{3}{30}}=\sqrt[3]{\sqrt[10]{1000}}=\sqrt[3]{2}=\frac{\sqrt[3]{1000}}{\sqrt[3]{500}}=\frac{10}{8}=1.25 \\ 10^{0.6}=\sqrt[5]{10^3}=4\Rightarrow 10^{-0.6}=0.25[/tex]