## Elementary Algebra

$-2^{4} = -16$
$-2^{4} \ne 16$ The mistake here is that my friend thinks it is $(-2)^{4}$, which will give positive $16$ as the answer: $= (-2)^{4}$ $= (-2) \times (-2) \times (-2) \times (-2)$ $= 4 \times 4$ $= 16$ The correct answer is: $= -2^{4}$ $= -(2 \times 2 \times 2 \times 2)$ $= -(4 \times 2 \times 2)$ $= -(8 \times 2)$ $= -16$