Question

write the expression in exponential form.
\sqrt2{x}

Explanation:

Step1: Recall the radical to exponential rule

The nth root of a number \( a \) can be written as \( a^{\frac{1}{n}} \), that is \( \sqrt[n]{a}=a^{\frac{1}{n}} \).

Step2: Apply the rule to the given expression

In the given expression \( \sqrt[2]{x} \), here \( n = 2 \) and \( a=x \). Using the rule \( \sqrt[n]{a}=a^{\frac{1}{n}} \), we substitute \( n = 2 \) and \( a=x \) into the formula. So \( \sqrt[2]{x}=x^{\frac{1}{2}} \).

Answer:

\( x^{\frac{1}{2}} \)