What is -2^5 and how does it compare to (-2)^5?

-2^5 is equal to -32. The negative sign is applied after the exponentiation is performed, so the exponentiation is done first resulting in 2^5 = 32, and then the negative sign is applied to the result.

On the other hand, (-2)^5 is equal to -32 as well. In this case, the negative sign is applied to the base (-2) before the exponentiation is performed, so the calculation is (-2)^5 = -32.