2 Answers

Littm · Answer 1 · 2022-11-16T05:53:16+0000

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\large \sf\frac { x ^ { - 5 } y ^ { 4 } z ^ { - 3 } a ^ { 2 } } { z ^ { 4 } x ^ { - 2 } a ^ { 1 } y ^ { - 3 } } \\$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf \: \frac { x ^ { - 5 } y ^ { 4 } z ^ { - 3 } a ^ { 2 } } { z ^ { 4 } x ^ { - 2 } a ^ { 1 } y ^ { - 3 } } \\$

Cancel out a in both the numerator and denominator.

$\sf(x^(-5)z^(-3)ay^(4))/(y^(-3)x^(-2)z^(4)) \\$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$\sf(x^(-5)z^(-3)ay^(7))/(x^(-2)z^(4)) \\$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$\sf(ay^(7))/(x^(3)z^(7)) \\$

You can further simplify it to..

$\boxed{ \boxed{ \huge\bf(\left((y)/(z)\right)^(7)a)/(x^(3)) }}\\$

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