$$\\\frac{12^x}{48^{2x}}\\\\
=\frac{12^x}{(12*4)^{2x}}\\\\
=\frac{12^x}{12^{2x}*4^{2x}}\\\\
=\frac{1}{12^x*4^{2x}}\\\\
=\frac{1}{3^x*4^{x}*4^{2x}}\\\\
=\frac{1}{3^x*4^{3x}}\\\\
=\frac{1}{3^x*64^x}}\\\\
=\frac{1}{192^x}}\\\\$$
Maybe I have CDD I have probably done this the long way and there might be errors.
$$\\\frac{12^x}{48^{2x}}\\\\
=\frac{12^x}{(12*4)^{2x}}\\\\
=\frac{12^x}{12^{2x}*4^{2x}}\\\\
=\frac{1}{12^x*4^{2x}}\\\\
=\frac{1}{3^x*4^{x}*4^{2x}}\\\\
=\frac{1}{3^x*4^{3x}}\\\\
=\frac{1}{3^x*64^x}}\\\\
=\frac{1}{192^x}}\\\\$$
Maybe I have CDD I have probably done this the long way and there might be errors.