Question
$$(-2\cdot4)^3(-2\cdot2)^2 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} (-2\cdot4)^3(-2\cdot2)^2 &= 0&& \text{simplify left side} \\[1 em](-8)^3\cdot(-4)^2 &= 0&& \\[1 em]-512\cdot16 &= 0&& \\[1 em]-8192 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -8192 = 0 } $ is FALSE, we conclude that the equation has no solution.
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