Question 1047425
For all nonzero {{{r}}}, {{{t}}}, and {{{z}}} values, 

Simplify:(I say SIMPLIFY because you don't know the values of r, t, or z, so you cannot EVALUATE or SOLVE).

{{{16r^3tz^5/(-4rt^3z^2)}}} To simplify, you want to cancel like-factors in the numerator and the denominator. If you are not sure how to do this, you can rewrite the expression showing the factors:
{{{(cross(4)*4*cross(r)*r*r*cross(t)*cross(z)*cross(z)*z*z*z)/(-cross(4)*cross(r)*cross(t)*t*t*cross(z)*cross(z))}}} Cancel the indicated like-factors to leave you with:

{{{-4r^2z^3/t^2}}}

here we see that {{{t}}} is in denominator, so {{{t}}} cannot be equal to zero, 

so, solution set  for{{{ t}}} is:

{ {{{t}}} is element of {{{R}}}: {{{t<>0}}} }


and, solution  set  for r and  is: all real numbers
{ {{{r}}} is element of {{{R}}} }
{ {{{z}}} is element of {{{R}}} }