4.) \( -5 x(-2 x y z)^{0} \)

Did you know that any non-zero number raised to the power of zero is always equal to one? So, when you see \( (-2xy z)^0 \), it simplifies to \( 1 \). This means your expression \( -5 x (-2 xy z)^{0} \) simplifies directly to \( -5 x \cdot 1 \), or just \( -5x \). Easy peasy! Now, let's talk about negative coefficients. In this case, the negative sign in front of the \( 5 \) indicates that whatever value \( x \) takes will be multiplied by \( -5 \). So if \( x \) is, say, \( 3 \), then \( -5x \) becomes \( -15 \). Make sure you know how negative numbers play into your calculations—it's a classic plot twist in math!