## \$NTime(2^n) \subseteq NSpace(n^k)\$ implies \$EXP = PSPACE\$?

Assume $$NTime(2^n) \subseteq NSpace(n^k)$$, for some fixed $$k$$. Is it possible to imply that $$EXP = PSPACE$$? and what about $$NEXP = PSPACE$$? It seems the answer might be YES, because this question seems to be equivalent to the open question $$EXP=PSPACE$$?
Can it be shown using some padding argument?