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# SImplify 12^x/48^2x

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Simplify 12^x/48^2x

Guest Feb 28, 2015

### Best Answer

#1
+91481
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$$\\\frac{12^x}{48^{2x}}\\\\ =\frac{12^x}{(12*4)^{2x}}\\\\ =\frac{12^x}{12^{2x}*4^{2x}}\\\\ =\frac{1}{12^x*4^{2x}}\\\\ =\frac{1}{3^x*4^{x}*4^{2x}}\\\\ =\frac{1}{3^x*4^{3x}}\\\\ =\frac{1}{3^x*64^x}}\\\\ =\frac{1}{192^x}}\\\\$$

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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### 1+0 Answers

#1
+91481
+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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