Expression : $$(562.5 imes 6)^{6}div(135 div 9)^{10}$$ $$div(37.5 imes 6)^{7}=(3.75 imes 4)^{?-6}$$ => $$(3375)^6 div (15)^{10} div (225)^7 = (15)^{x - 6}$$ => $$((15)^3)^6 div (15)^{10} div ((15)^2)^7 = (15)^{x - 6}$$ => $$(15)^{18} imes frac{1}{(15)^{10}} imes frac{1}{(15)^{14}} = (15)^{x - 6}$$ => $$(15)^{18 - 10 - 14} = (15)^{x - 6}$$ => $$(15)^{-6} = (15)^{x - 6}$$ Comparing both sides, we get : => $$x - 6 = -6$$ => $$x = 6 - 6 = 0$$