Question 144938
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{{{(10x^8y)/(24x^3y^5z)}}}

Write everything as prime factors:

Write {{{10}}} as {{{2*5}}}
Write {{{x^8}}} as {{{x*x*x*x*x*x*x*x}}}
Write {{{24}}} as {{{2*2*2*3}}}
Write {{{x^3}}} as {{{x*x*x}}}
Write {{{y^5}}} as {{{y*y*y*y*y}}}


{{{(2*5*x*x*x*x*x*x*x*x*y)/(2*2*2*3*x*x*x*y*y*y*y*y*z)}}}

Now cancel the 2 in the top with one of the 2's in the bottom:

{{{(cross(2)*5*x*x*x*x*x*x*x*x*y)/(cross(2)*2*2*3*x*x*x*y*y*y*y*y*z)}}}

Now cancel the three x's in the bottom with three of the x's in
the top:

{{{(cross(2)*5*cross(x)*cross(x)*cross(x)*x*x*x*x*x*y)/(cross(2)*2*2*3*cross(x)*cross(x)*cross(x)*y*y*y*y*y*z)}}}

Now cancel the y in the top with one of the y's in the bottom:

{{{(cross(2)*5*cross(x)*cross(x)*cross(x)*x*x*x*x*x*cross(y))/(cross(2)*2*2*3*cross(x)*cross(x)*cross(x)*cross(y)*y*y*y*y*z)}}}

{{{(5*x*x*x*x*x)/(2*2*3*y*y*y*y*z)}}}

{{{(5x^5)/(12y^4z)}}}

Edwin</pre>