Oblicz wartość wyrażenia.
a) $\left(3^{\sqrt{2}}\right)^{\sqrt{8}}$
b) $\left(2^{\sqrt{5}}\right)^{\sqrt{20}}$
c) $5^{\sqrt{3}} \cdot 5^{2-\sqrt{3}}$
d) $\frac{6^{\sqrt{7}+2}}{6^{\sqrt{7}}}$
e) $2^{\pi} \cdot 8^{-\frac{\pi}{3}}$
f) $3^{\sqrt{6}} \cdot 27^{-\frac{\sqrt{6}}{3}}$
g) $\frac{12^{\sqrt{5}}}{4^{\sqrt{5}}}$
h) $2^{\sqrt{3}} \cdot 18^{-\sqrt{3}} \cdot 9^{\sqrt{3}}$
i) $\left(7^{\sqrt{2}-1}\right)^{\sqrt{2}+1}$
j) $16^{\sqrt{5}} : 4^{\sqrt{5}}$