Question

1. $(-x)^2$

Explanation:

Step1: Recall the power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((-x)^2\), we can let \(a = -1\) and \(b = x\), and \(n = 2\). So we have \((-1\times x)^2=(-1)^2\times x^2\).

Step2: Calculate \((-1)^2\)

We know that \((-1)^2 = (-1)\times(-1)=1\). Then, substituting back, we get \(1\times x^2 = x^2\).

Answer:

\(x^2\)