Verified Answer :

\(3^2=3\cdot3=9\\(3)^2=(3)\cdot(3)=9\\3^2=(3)^2\\\\but\ (-3)^2=(-3)\cdot(-3)=9\ and\ -3^2=-3\cdot3=-9\to(-3)^2 eq-3^2\)


\(\dfrac{15^m}{3^n}=\dfrac{(5\cdot3)^m}{3^n}=\dfrac{5^m\cdot3^m}{3^n}=5^m\cdot3^{m-n}\)