Write (2√3)(5√27^3) as a single exponent
\((2\sqrt3)(5(\sqrt{27})^3)\\ =(2\sqrt3)(5(\sqrt{9*3})^3)\\ =(2\sqrt3)(5(3\sqrt{3})^3)\\ =(2\sqrt3)(5(3^3(\sqrt{3})^3)\\ =(2\sqrt3)(5(3^3(3\sqrt{3}))\\ =2*\sqrt3*5*3^3*3\sqrt{3}\\ =2*5*3^3*3\sqrt{3}*\sqrt3\\ =10*3^3*3*3\\ =10*3^5\\ \)