Question

to eliminate the radical on \\(\sqrt{x}\\) as part of an equation, we would square the expression. to eliminate the rational exponent on \\(x^{\frac{1}{2}}\\), what power would you raise the expression to?\
\\(\circ -1\\)\
\\(\circ \frac{1}{2}\\)\
\\(\circ 1\\)\
\\(\circ 2\\)

Explanation:

Step1: Recall exponent power rule

For $(x^a)^b = x^{a \cdot b}$, aim for exponent 1.

Step2: Calculate required power

Set $\frac{1}{2} \cdot b = 1$, solve for $b$: $b = 2$.

Step3: Verify the operation

$(x^\frac{1}{2})^2 = x^{\frac{1}{2} \times 2} = x^1 = x$, eliminating the rational exponent.

Answer:

2