Question

16^{1/2} ?

Explanation:

Step1: Recall exponent rule

The exponent rule for a number raised to a fraction \(\frac{1}{n}\) is the \(n\)-th root, i.e., \(a^{\frac{1}{n}}=\sqrt[n]{a}\). Here, \(a = 16\) and \(n = 2\), so \(16^{\frac{1}{2}}=\sqrt{16}\).

Step2: Calculate square root

The square root of 16 is 4, since \(4\times4 = 16\). So \(16^{\frac{1}{2}} = 4\).

Answer:

\(4\)