<PRE><B>Question 1182313</B>
&lt;br&gt;
The given expression:&lt;br&gt;
{{{((2x^3y^2z^(-5))(3x^2z^9))/(4x^5y^(-4))^2}}}&lt;br&gt;
There is nothing wrong with the solution shown by the other tutor; all the steps are mathematically correct.&lt;br&gt;
However, that formal path to the answer gets pretty messy....&lt;br&gt;
I would simplify the expression by looking at the constants and each variable separately and combining the pieces.&lt;br&gt;
(1) Constants: {{{((2)(3))/4^2 = 3/8}}}&lt;br&gt;
(2) x: {{{((x^3)(x^2))/x^10 = 1/x^5}}}&lt;br&gt;
(3) y: {{{y^2/y^(-8) = y^10}}}&lt;br&gt;
(4) z: {{{(z^(-5))(z^9)=z^4}}}&lt;br&gt;
Put them together....&lt;br&gt;
{{{(3(y^10)(z^4))/(8x^5)}}}&lt;br&gt;
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