1: \(1=3^0;9=3^2;81=3^4;243=3^5;27=3^3;3=3^1;729=3^6\)
2:
a: \(\dfrac{1}{81}=\left(\dfrac{1}{3}\right)^4\)
\(\dfrac{1}{16}=\left(\dfrac{1}{2}\right)^4\)
\(\dfrac{8}{125}=\left(\dfrac{2}{5}\right)^3\)
\(\dfrac{27}{64}=\left(\dfrac{3}{4}\right)^3\)
b: \(125\cdot27=5^3\cdot3^3=15^3\)
c: \(\dfrac{243}{32}=\left(\dfrac{3}{2}\right)^5\)