[tex]\displaystyle\bf\\\frac{x^{100}\cdot x^{20} \cdot x^{60} }{x^{89} \cdot x^{72} } =\frac{x^{55}\cdot x^{36} }{x^{41} \cdot x^{13} \cdot x^{18} } \\\\\\\frac{x^{100+20+60} }{x^{89+72} } =\frac{x^{55+36} }{x^{41+13+18} } \\\\\\\frac{x^{180} }{x^{161} } =\frac{x^{91} }{x^{72} } \\\\\\x^{180-161} =x^{91-72} \\\\\\x^{19} =x^{19} \ \ - \ verno[/tex]
[tex]\displaystyle\bf\\2) \ \ \frac{x^{33}\cdot x \cdot x^{69} }{x^{47} \cdot x^{49} } =\frac{x^{53}\cdot x^{56} \cdot x^{60} }{x^{81} \cdot x^{2} \cdot x^{79} } \\\\\\\frac{x^{33+1+69} }{x^{47+49} } =\frac{x^{53+56+60} }{x^{81+2+79} } \\\\\\\frac{x^{103} }{x^{96} } =\frac{x^{169} }{x^{162} } \\\\\\x^{103-96} =x^{169-162} \\\\\\x^{7} =x^{7} \ \ - \ verno[/tex]
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[tex]\displaystyle\bf\\\frac{x^{100}\cdot x^{20} \cdot x^{60} }{x^{89} \cdot x^{72} } =\frac{x^{55}\cdot x^{36} }{x^{41} \cdot x^{13} \cdot x^{18} } \\\\\\\frac{x^{100+20+60} }{x^{89+72} } =\frac{x^{55+36} }{x^{41+13+18} } \\\\\\\frac{x^{180} }{x^{161} } =\frac{x^{91} }{x^{72} } \\\\\\x^{180-161} =x^{91-72} \\\\\\x^{19} =x^{19} \ \ - \ verno[/tex]
[tex]\displaystyle\bf\\2) \ \ \frac{x^{33}\cdot x \cdot x^{69} }{x^{47} \cdot x^{49} } =\frac{x^{53}\cdot x^{56} \cdot x^{60} }{x^{81} \cdot x^{2} \cdot x^{79} } \\\\\\\frac{x^{33+1+69} }{x^{47+49} } =\frac{x^{53+56+60} }{x^{81+2+79} } \\\\\\\frac{x^{103} }{x^{96} } =\frac{x^{169} }{x^{162} } \\\\\\x^{103-96} =x^{169-162} \\\\\\x^{7} =x^{7} \ \ - \ verno[/tex]