Question

directions
read the instructions for this self - checked activity. type in your response to each question, and check yo
of the activity, write a brief evaluation of your work.
activity
in this activity, you will solve radical equations that have rational exponents.
question 1
select the correct answer.
what is the correct rational exponent form of the expression \\(\sqrt{x}\\)?
\\(\circ\\) \\(x^{\frac{1}{2}}\\)
\\(\circ\\) \\(\frac{1^{x}}{2}\\)
\\(\circ\\) \\(x^{2}\\)
\\(\circ\\) \\(x^{-1}\\)

Explanation:

Step1: Recall radical-exponent rule

The square root of a number $x$, written as $\sqrt{x}$, follows the rule $\sqrt[n]{x} = x^{\frac{1}{n}}$, where $n=2$ for square roots.

Step2: Apply rule to $\sqrt{x}$

Substitute $n=2$ into the rule: $\sqrt{x} = x^{\frac{1}{2}}$

Answer:

$x^{\frac{1}{2}}$