a)
10^{2+log3}=10^2*10^{log3}=100*3=300
b)
36^{log_65-\frac{1}{4}}=36^{log_65}*36^{-\frac{1}{4}}=(6^2)^{log_65}*(\frac{1}{36})^{\frac{1}{4}}=6^{2log_65}*\sqrt[4]{\frac{1}{36}}=
=6^{log_6(5)^2}*\sqrt{\sqrt{\frac{1}{36}}}=5^2*\sqrt{\frac{1}{6}}=\frac{25*1}{\sqrt6}=\frac{25\sqrt6}{6}
c)
27^{log_32-\frac{1}{3}}=27^{log_32}:27^{\frac{1}{3}}=(3^3)^{log_32}:\sqrt[3]{27}=3^{3log_32}:3=3^{log_38}:3=8:3=2\frac{2}{3}
zastosowano wzory
log_ab^m=m*log_ab
a^{log_ax}=x