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Simplify 12^x/48^2x

 Feb 28, 2015

Best Answer 

 #1
avatar+99377 
+5

$$\\\frac{12^x}{48^{2x}}\\\\
=\frac{12^x}{(12*4)^{2x}}\\\\
=\frac{12^x}{12^{2x}*4^{2x}}\\\\
=\frac{1}{12^x*4^{2x}}\\\\
=\frac{1}{3^x*4^{x}*4^{2x}}\\\\
=\frac{1}{3^x*4^{3x}}\\\\
=\frac{1}{3^x*64^x}}\\\\
=\frac{1}{192^x}}\\\\$$

 

Maybe I have CDD           I have probably done this the long way and there might be errors.  

 Feb 28, 2015
 #1
avatar+99377 
+5
Best Answer

$$\\\frac{12^x}{48^{2x}}\\\\
=\frac{12^x}{(12*4)^{2x}}\\\\
=\frac{12^x}{12^{2x}*4^{2x}}\\\\
=\frac{1}{12^x*4^{2x}}\\\\
=\frac{1}{3^x*4^{x}*4^{2x}}\\\\
=\frac{1}{3^x*4^{3x}}\\\\
=\frac{1}{3^x*64^x}}\\\\
=\frac{1}{192^x}}\\\\$$

 

Maybe I have CDD           I have probably done this the long way and there might be errors.  

Melody Feb 28, 2015

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