Question

converting between radical and exponential form
what is \\(\sqrt8{6}\\) in exponential form?
\\(8^{\frac{1}{6}}\\) \\(6^{8}\\) \\(6^{\frac{1}{8}}\\)

Explanation:

Step1: Recall the radical to exponential rule

The rule for converting a radical \(\sqrt[n]{a}\) to exponential form is \(a^{\frac{1}{n}}\), where \(n\) is the index of the radical and \(a\) is the radicand.

Step2: Apply the rule to \(\sqrt[8]{6}\)

Here, the radicand \(a = 6\) and the index \(n = 8\). Using the rule \(\sqrt[n]{a}=a^{\frac{1}{n}}\), we substitute \(a = 6\) and \(n = 8\) to get \(6^{\frac{1}{8}}\).

Answer:

The Right Graph (the option with \(6^{\frac{1}{8}}\))