If you have two agent source codes A and B both provided with resource amount R (detailing computational architecture and tools such as telepresence robots and nanotech) then you will observe that if A is a stronger optimizer than B, A will get more done in less time, or alternately hit a much higher preferred world.

If you have one agent source code C and run two instances, one with resources M and one with resources N, then if M > N, then agent running on M will dominate the agent running on N.

"Intelligence" is cleverness of source code, "Power" is the available resources. A really clever agent can outdo a stupid one even if ludicrously handicapped, resource wise. A stupid agent with powerful nanotech dominates a clever agent with human servants.