There is a quick way to solve problems like this

Algebra Level 2

\[ \begin{eqnarray} m\times a\times t & =& \frac {1}{8} \\ m\times a\times h & =& 32 \\ m\times t\times h & =& \frac{1}{3} \\ a\times t\times h & =& 162 \\ \end{eqnarray} \]

Given that \(m,a,t,h\) are elements of real numbers that satisfy the equations above. Find the value of \(m\times a\times t\times h\).


See part 2 here and part 4 here.
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