## Related questions with answers

Question

Use the skills covered in the Brief Review to evaluate or simplify the following expressions.

$16^{1 / 2}$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2The given expression $\textcolor{#c34632}{16^{\frac{1}{2}}}$ has a base of $\textcolor{#c34632}{16}$ and an exponent of $\textcolor{#c34632}{\frac{1}{2}}$. Recall that a **fractional exponent** indicates the $n$th root of a number.

$x^{\frac{1}{n}} = \sqrt[n]x$

Hence, to evaluate the expression, we have

$\begin{aligned} 16^{\frac{1}{2}} &=\sqrt{16}= \textcolor{#4257b2}{4} \end{aligned}$

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