HOLLY!?!?!?!?!?!?!?!?!

$a \uparrow b=a^b\\ a \uparrow\uparrow b=a \uparrow (a \uparrow (a \uparrow (... \uparrow a)))\\ a \uparrow\uparrow\uparrow b=a \uparrow\uparrow (a \uparrow\uparrow (a \uparrow\uparrow (... \uparrow\uparrow a)))\\ ...\\$

$3 \uparrow 3 = 3^3 = 9\\ 3 \uparrow\uparrow 3 = 3^{3^3} = 3^{27} = 7625597484987\\ 3 \uparrow\uparrow\uparrow 3 = 3^{3^{3^3}} = 3^{3^{27}} = 3^{7625597484987} = WAY \space to \space BIG \space number\\ 3 \uparrow\uparrow\uparrow\uparrow 3 = 3^{3^{3^{3^3}}} = 3^{3^{3^{27}}} = 3^{3^{7625597484987}} = 3^{WAY \space to \space BIG \space number} = INSANELY, \space WAY, \space WAY \space TO \space BIG \space NUMBER!!!$