$$(562.5 \times 6)^{6}\div(135 \div 9)^{10}$$ $$\div(37.5 \times 6)^{7}=(3.75 \times 4)^{?-6}$$

Expression : $$(562.5 \times 6)^{6}\div(135 \div 9)^{10}$$ $$\div(37.5 \times 6)^{7}=(3.75 \times 4)^{?-6}$$

=> $$(3375)^6 \div (15)^{10} \div (225)^7 = (15)^{x - 6}$$

=> $$((15)^3)^6 \div (15)^{10} \div ((15)^2)^7 = (15)^{x - 6}$$

=> $$(15)^{18} \times \frac{1}{(15)^{10}} \times \frac{1}{(15)^{14}} = (15)^{x - 6}$$

=> $$(15)^{18 - 10 - 14} = (15)^{x - 6}$$

=> $$(15)^{-6} = (15)^{x - 6}$$

Comparing both sides, we get :

=> $$x - 6 = -6$$

=> $$x = 6 - 6 = 0$$