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The simplified form is \(-8ab^{3}\).
Solución
Calculate or simplify the expression \( a(-2b)^3 \).
Simplify the expression by following steps:
- step0: Solution:
\(a\left(-2b\right)^{3}\)
- step1: Rewrite the expression:
\(a\left(-8b^{3}\right)\)
- step2: Calculate:
\(-8ab^{3}\)
The simplified form of \( a(-2b)^{3} \) is \(-8ab^{3}\).
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Simplifique esta solución Extra Insights
Did you know that the cube of a negative number is still negative? So when you raise \(-2b\) to the power of three, you’ll actually end up with \(-8b^3\). Don't let those signs trip you up! Now, think of this expression in a real-world context. If \(a\) represents a variable quantity, like the height of a building, then multiplying \(a\) by \(-8b^3\) could represent a drastic reduction in some aspect of the building project, like its materials if you're cutting costs. Understanding the implications of changing variables can really change your perspective on a project!
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