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To apply the properties of integer exponents, you can use the rule that states "a^m/a^n = a^(m-n)".
Using this rule, you can rewrite the expression 2^2/2^(-4) as 2^(2-(-4)).
Simplifying the exponent, you get 2^(2+4) = 2^6.
Therefore, the equivalent expression to 2^2/2^(-4) with only positive exponents is 2^6.
To solve this expression, you simply calculate 2^6 which equals 64.
So, the solution to the expression 2^2/2^(-4) as a whole number is 64.