Question

simplify \\(121^{1/2}\\)

Explanation:

Step1: Recall exponent rule

The exponent rule for a fractional exponent \(a^{\frac{m}{n}}=\sqrt[n]{a^m}\). For \(121^{\frac{1}{2}}\), \(m = 1\) and \(n=2\), so it's \(\sqrt{121^1}=\sqrt{121}\).

Step2: Calculate square root

We know that \(11\times11 = 121\), so \(\sqrt{121}=11\).

Answer:

\(11\)