b)
r=(16^{\frac{\sqrt2}{2}-1})^{\frac{\sqrt2}{2}+1}=16^{(\frac{\sqrt2}{2}-1)(\frac{\sqrt2}{2}+1)}=16^{(\frac{\sqrt2}{2})^2-1^2}=16^{\frac{2}{4}-1}=16^{\frac{1}{2}-1}=
16^{-\frac{1}{2}}=(2^4)^{-\frac{1}{2}}=2^{-2}=(\frac{1}{2})^2=\frac{1}{4}
c)
r=((\frac{3}{5})^{\sqrt5+\sqrt3})^{\sqrt3-\sqrt5}=(\frac{3}{5})^{(\sqrt3+\sqrt5)(\sqrt3-\sqrt5)}=(\frac{3}{5})^{3-5}=(\frac{3}{5})^{-2}=(\frac{5}{3})^2=\frac{25}{9}