Question

2/10
(2ab)³
6a³b³
2ab³
6ab
2³a³b³

Explanation:

Step1: Recall exponent rule for products

The power of a product rule states that \((xy)^n = x^n y^n\) for any real numbers \(x\), \(y\) and integer \(n\). Applying this to \((2ab)^3\), we can distribute the exponent 3 to each factor inside the parentheses.
So, \((2ab)^3 = 2^3 \cdot a^3 \cdot b^3\).

Step2: Calculate \(2^3\)

We know that \(2^3 = 2\times2\times2 = 8\), which is also written as \(2^3\). So substituting back, we get \(2^3 a^3 b^3 = 2^3a^3b^3\).

Answer:

\(2^3a^3b^3\) (or equivalently \(8a^3b^3\), but among the given options, \(2^3a^3b^3\) is present as the fourth option)