system

We have four equations four unknowns. The first step is to multiply all 4 eqations together, and we get: $m^3a^3t^3h^3=27$.

Cube rooting both sides of the new equation we get: $math = 3$    (equation5)

Taking equation5 and dividing it by equation 1 we get: $h = 24$

Taking equation5 and dividing it by equation 2 we get: $t = {3\over32}$

Taking equation5 and dividing it by equation 3 we get: $a = 9$

Taking equation5 and dividing it by equation 4 we get: $m = {4\over27}$

Those are our four values for m, a, t, and h.