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Some answers are 4 4 ! {\displaystyle {\sqrt {\sqrt {\sqrt {4^{4!}}}}}} , 4 4 ! {\displaystyle {\sqrt {\sqrt {{\sqrt {4}}^{4!}}}}} , 4 log exp 4 ! {\displaystyle 4^{\log {\sqrt {\sqrt {\sqrt {\exp {4!}}}}}}} and 4 − ⌊ tan 4 ! ⌋ {\displaystyle 4^{-\lfloor \tan {4!}\rfloor }} .