Sometimes they make sense for managing mod-sets/different instances (i.e. Stellaris or most famously Minecraft.
^ for power. ** is usually in a programming setting (but it‘s usually a method and not an operator there.)
\cdot for matrix multiplication and the dot product, \times for cross product and nothing (or *, if I want to write it explicitly and have no convolution in the expression) for regular multiplication.
It’s not like physicists, chemists or engineers are a thing.