The answer depends on what functions are permitted - if any.
If you simply mean the arrangement of digits, then the answer is 9,876,412.
But if, for example, powers are permitted, then 987614^2 = 975,381,412,996 is very much larger. And that is one of the smaller powers.
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772
the largest five digit number that can be formed using the digits 7 and 9 is 97,000
9876543210, without using any mathemeatical operations.
99875
976542