a)
p=2^{\sqrt3+4}*2^{\sqrt3-6}=2^{\sqrt3+4+\sqrt3-6}=2^{2\sqrt3-2}
b)
p=2^{\pi - 1}*2^{\frac{1}{2}-\pi}=2^{\pi -1+\frac{1}{2}-\pi}=2^{-\frac{1}{2}}
c)
p=2^{\sqrt2+3}:2^{\sqrt2-\frac{1}{4}}=2^{\sqrt2+3-(\sqrt2-\frac{1}{2})}=2^{\sqrt2+\frac{6}{2}-\sqrt2+\frac{1}{2}}=2^{\frac{7}{2}}
d)
p=2^{\sqrt3+5}:2^{\sqrt5+5}=2^{\sqrt3+5-(\sqrt5+5)}=2^{\sqrt3+5-\sqrt5-5}=2^{\sqrt3-\sqrt5}