divide c^6 by common factor c^4

$$\\c^6\div c^4\\
=c^{6-4}\\
=c^2\\\\
$Now why is this true?$\\\\
c^6\div c^4\\\\
=\frac{c^6}{c^4}\\\\
=\frac{cccccc}{cccc}\\\\
=\frac{cc\not{c}\not{c}\not{c}\not{c}}{\not{c}\not{c}\not{c}\not{c}}\\\\
=\frac{cc}{1}\\\\
=c^2$$

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