Respuesta :

gmany

Answer:

[tex]\huge\boxed{\dfrac{z^6x^7}{z^5x}=zx^6}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{z^6x^7}{z^5x}=\dfrac{z^6x^7}{z^5x^1}=z^{6-5}x^{7-1}=z^1x^6=zx^6[/tex]

Answer:

[tex]zx^6[/tex]   is the simplified answer.

Step-by-step explanation:

[tex]\frac{z^6x^7}{z^5x}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\=\frac{x^7z^{6-5}}{x}\\\\=\frac{zx^7}{x}\\\\\mathrm{Cancel\:the\:common\:factor:}\:x\\\\=zx^6[/tex]

Best Regards!

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