2 to the power of 5 times 2 to the power of negative 2

To simplify this expression, you can add the exponents since the bases are the same:

2^5 * 2^-2 = 2^(5 + -2) = 2^3

So, 2 to the power of 5 times 2 to the power of -2 simplifies to 2 to the power of 3.