SG. 1 If $100 A=35^{2}-15^{2}$, find $A$. SG. 2 If $(A-1)^{6}=27^{B}$, find $B$.
$\begin{array}{l}100 A=(35-15)(35+15)=1000 \\ A=10 \\ (10-1)^{6}=27^{B} \\ 3^{12}=3^{3 B} \\ \Rightarrow B=4\end{array}$