I just think of it like X to the 0.5 is square root, X to the 0.3 is cube root, X to the 0.25 is fourth root, etc Therefore X^0 is what you get if you're taki

I just think of it like X to the 0.5 is square root, X to the 0.3 is cube root, X to the 0.25 is fourth root, etc Therefore X^0 is what you get if you're taking the 'infiniteth' root = 1