Question

Simplify z^6x^7/z^5x

Answer 1

`zx^6` is the simplified answer.

Explanation:

`(z^6x^7)/(z^5x)`

`\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)\\\\=(x^7z^(6-5))/(x)\\\\=(zx^7)/(x)\\\\\mathrm{Cancel\:the\:common\:factor:}\:x\\\\=zx^6`

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Answer 2

`\huge\boxed{(z^6x^7)/(z^5x)=zx^6}`

Explanation:

`\text{Use}\ (a^n)/(a^m)=a^(n-m)\\\\(z^6x^7)/(z^5x)=(z^6x^7)/(z^5x^1)=z^(6-5)x^(7-1)=z^1x^6=zx^6`