Question

question 1-2
select the expression that represents \\(\sqrt9{y^2}\\) in rational form.
\\(\bigcirc\\) \\(y^{\frac{9}{2}}\\)
\\(\bigcirc\\) \\(y^{\frac{2}{9}}\\)
\\(\bigcirc\\) \\(y^2\\)
\\(\bigcirc\\) \\(y^9\\)

Explanation:

Step1: Recuerda la regla de exponentes para raíces: $\sqrt[n]{a^m} = a^{\frac{m}{n}}$

Para la expresión $\sqrt[9]{y^2}$, aplicamos la regla. Aquí, $n = 9$ y $m = 2$.

Step2: Aplicar la regla

Entonces, $\sqrt[9]{y^2} = y^{\frac{2}{9}}$

Answer:

$y^{\frac{2}{9}}$ (corresponding to the option with this expression, e.g., if the second option is $y^{\frac{2}{9}}$, then the answer is B. $y^{\frac{2}{9}}$)