Evaluate the two expressions and compare the answers. Do the expressions have the same value? \( -2^{6} \) and \( (-2)^{6} \) Part: \( 0 / 3 \) Part 1 of 3
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When evaluating \( -2^{6} \), we follow the order of operations, raising 2 to the power of 6 first: \( 2^{6} = 64 \), and then applying the negative sign, giving us \( -64 \). On the other hand, when we evaluate \( (-2)^{6} \), we are raising -2 to the power of 6. Since raising a negative number to an even power results in a positive outcome, we compute it as \( (-2) \times (-2) \times (-2) \times (-2) \times (-2) \times (-2) = 64 \). Now, comparing the two results: \( -2^{6} = -64 \) and \( (-2)^{6} = 64 \). They do not have the same value!