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

1 answer

The expression -2^5 is equal to -32. This is because when an exponent is applied, the negative sign only applies to the base number, not the entire expression.

On the other hand, (-2)^5 is equal to -32 as well. This is because the parentheses alter the order of operations, and the exponent is applied to the entire base number including the negative sign.

So, both -2^5 and (-2)^5 result in -32, but the placement of the negative sign and the parentheses can affect the outcome of an expression.