@alisonkiddle@mathstodon.xyz First is 1/2¹⁰. I know the value of 2^{10} like the back of my hand, but since I don't know the value of 6^4 and don't want to calculate it that's not very helpful to me atm. But I *do* know the value of 6^2=36. And 36 is just a little more than 32=2^5 (again, another fact I know without having to think about it). So (6^2)^2 > (2^5)^2 = 2^{10}, so when we take reciprocals we get that 1/6^4 < 1/2^{10}.