use radical notation to write the expression. simplify, if possible.\n16^{1 / 4}\nselect the correct choice…

use radical notation to write the expression. simplify, if possible.\n16^{1 / 4}\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. 16^{1 / 4}= (simplify your answer. type an exact answer, using radicals as needed.)\nb. the answer is not a real number.

use radical notation to write the expression. simplify, if possible.\n16^{1 / 4}\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. 16^{1 / 4}= (simplify your answer. type an exact answer, using radicals as needed.)\nb. the answer is not a real number.

Answer

Explanation:

Step1: Use the rule (a^{\frac{1}{n}}=\sqrt[n]{a})

For (16^{\frac{1}{4}}), we can rewrite it as (\sqrt[4]{16})

Step2: Factorize the radicand

Since (16 = 2\times2\times2\times2=2^{4}), then (\sqrt[4]{16}=\sqrt[4]{2^{4}})

Step3: Simplify the radical

Using the property (\sqrt[n]{a^{n}}=\vert a\vert) when (n) is even. Here (n = 4) (even) and (a = 2) (positive), so (\sqrt[4]{2^{4}}=2)

Answer:

A. (16^{\frac{1}{4}} = 2)