Question

simplify.
a) ((2xy)^3 =)

Explanation:

Step1: Apply power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((2xy)^3\), we apply this rule to each factor \(2\), \(x\), and \(y\). So we can write it as \(2^3\times x^3\times y^3\).

Step2: Calculate \(2^3\)

We know that \(2^3=2\times2\times2 = 8\).

Step3: Combine the results

Substituting the value of \(2^3\) back, we get \(8\times x^3\times y^3=8x^3y^3\).

Answer:

\(8x^3y^3\)