## What are the \$EXP^{NP}\$, \$EXP^{PSPACE}\$, and \$EXP^{EXP}\$ equal to

What are the $$EXP^{NP}$$, $$EXP^{PSPACE}$$, and $$EXP^{EXP}$$ equal to?

I suspect that their, NEXP, ESPACE and 2EXPtime respecitvely. And what bout $$NP^{EXP}$$

## Oracle Turing Machine \${EXP^{EXP}}\$

does $${EXP^{EXP}=EXP?}$$
here is my thought $${EXP}$$ machine can ask $$2^{O(n)}$$ queries to the oracle, and each oracle would itself solve an exponential time problem in a single step. So the total power would be $$2^{O(n)}$$×$$2^{O(n)}$$ which would still be in EXP.

## On \$EXP^{EXP}\$?

1. Does $$EXP^{EXP}=EXP$$?

2. Does $$EXP^{NP}\subseteq EXP^{EXP}$$?

Note both $$1.$$ and $$2.$$ is not known to be same simultaneously or else we have $$EXP^{NP}\subseteq EXP^{EXP}=EXP\subseteq EXP^{NP}$$. This gives $$EXP^{NP}=EXP$$ which is not known.