a) an . a2 = a2n
b) \((\dfrac{2}{3})^{2} . (\dfrac{3}{6})^{2} = (\dfrac{2}{3})^{2} . (\dfrac{1}{2})^{2} =(\dfrac{2}{3} . \dfrac{1}{2})^{2} = (\dfrac{1}{3})^{2} = \dfrac{1}{9}\)
c) \((\dfrac{3}{4})^{2} : (\dfrac{6}{12})^{2} = (\dfrac{3}{4})^{2} : (\dfrac{1}{2})^{2} =(\dfrac{3}{4} : \dfrac{1}{2})^{2} = (\dfrac{3}{4} . \dfrac{2}{1})^{2} =(\dfrac{3}{2})^{2} =\dfrac{9}{2} \)
a) \(a^n.a^2=a^{n+2}\)
b) \(\left(\dfrac{2}{3}\right)^2.\left(\dfrac{3}{6}\right)^2=\left(\dfrac{2}{3}.\dfrac{3}{6}\right)^2=\left(\dfrac{1}{3}\right)^2=\dfrac{1}{9}\)
c) \(\left(\dfrac{3}{4}\right)^2:\left(\dfrac{6}{12}\right)^2=\left(\dfrac{3}{4}:\dfrac{6}{12}\right)^2=\left(\dfrac{3}{4}.\dfrac{12}{6}\right)^2=\left(\dfrac{3}{2}\right)^2=\dfrac{9}{4}\)
