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

The expression -2^5 can be read as -(2^5), which means the negative sign is applied after taking the exponent. In this case, -2^5 equals -32.

On the other hand, (-2)^5 means raising -2 to the power of 5. This results in -2 × -2 × -2 × -2 × -2, which evaluates to -32 as well.

Therefore, both -2^5 and (-2)^5 have the same value, which is -32.