Question

simplify \\(49^{1/2}\\)

Explanation:

Step1: Recall exponent rule

The exponent rule for a fractional exponent \(a^{\frac{1}{n}}\) is equivalent to the \(n\)-th root of \(a\), i.e., \(a^{\frac{1}{n}}=\sqrt[n]{a}\). For \(49^{\frac{1}{2}}\), this means \(\sqrt{49}\).

Step2: Calculate the square root

We know that \(7\times7 = 49\), so \(\sqrt{49}=7\).

Answer:

\(7\)