> much more powerful than tools with batteries

Battery powered tools can be much more powerful than corded tools. Corded tools are limited to 1500W whereas battery powered tools are not. For example a corded snow blower would never be powerful enough, but you can get battery powered snow blowers that are quite usable. Some of them will run 4 56V batteries in parallel to get the power.

Nothing hand-held is going to give you 1500W of course, the batteries would be too heavy.