[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \sf\frac { x ^ { - 5 } y ^ { 4 } z ^ { - 3 } a ^ { 2 } } { z ^ { 4 } x ^ { - 2 } a ^ { 1 } y ^ { - 3 } } \\ [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf \: \frac { x ^ { - 5 } y ^ { 4 } z ^ { - 3 } a ^ { 2 } } { z ^ { 4 } x ^ { - 2 } a ^ { 1 } y ^ { - 3 } } \\ [/tex]
Cancel out a in both the numerator and denominator.
[tex] \sf\frac{x^{-5}z^{-3}ay^{4}}{y^{-3}x^{-2}z^{4}} \\ [/tex]
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
[tex] \sf\frac{x^{-5}z^{-3}ay^{7}}{x^{-2}z^{4}} \\ [/tex]
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
[tex] \sf\frac{ay^{7}}{x^{3}z^{7}} \\ [/tex]
You can further simplify it to..
[tex] \boxed{ \boxed{ \huge\bf\frac{\left(\frac{y}{z}\right)^{7}a}{x^{3}} }}\\ [/tex]
