c) \( (-5)^{3}= \) d) \( -5^{3}= \)

The expression \( (-5)^{3} \) means that we are cubing -5, which involves multiplying -5 by itself three times: \( (-5) \times (-5) \times (-5) = -125 \). The negative sign is preserved because you have an odd number of negative factors. On the other hand, \( -5^{3} \) follows a different interpretation due to the absence of parentheses. Here, we first calculate \( 5^{3} \), obtaining \( 125 \), and then apply the negative sign: \( -125 \). So, despite the similar appearance, the two expressions yield the same numerical result, which is -125!