Question

1. choose the correct expression,

\sqrt{10}
\bigcirc \\ 2^{\frac{1}{10}}
\bigcirc \\ 10^{\frac{1}{2}}
\bigcirc \\ 2^{10}
\bigcirc \\ 10^{2}

Explanation:

Step1: Recall exponent rule

The rule for converting a square root to an exponent is $\sqrt[n]{a}=a^{\frac{1}{n}}$. For square root, $n = 2$.

Step2: Apply the rule to $\sqrt{10}$

Using the rule, $\sqrt{10}=10^{\frac{1}{2}}$ since $n = 2$ and $a = 10$.

Answer:

$10^{\frac{1}{2}}$ (the option with $10^{\frac{1}{2}}$)