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Evaluate and simplify the following expressions for $x=-5$ and $y=-2\text{:}$

$x^3y^2=$

$(-2x)^3=$

$-3x^2y=$

Solution

$\begin{aligned}[t] x^3y^2 \amp= (-5)^3(-2)^2\\ \amp=(-125)(4)\\ \amp=-500 \end{aligned}$

$\begin{aligned}[t] (-2x)^3\amp= (-2(-5))^3\\ \amp=(10)^3\\ \amp=1000 \end{aligned}$

$\begin{aligned}[t] -3x^2y\amp=-3(-5)^2(-2)\\ \amp=-3(25)(-2)\\ \amp=150 \end{aligned}$

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