$$ \left(16 x^{4}\right)^{\frac{1}{2}} $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ \left(16 x^{4}\right)^{\frac{1}{2}}=\square $$ (Simplify your answer. Type an exact answer, using radicals as needed.) B. The answer is not a real number.

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (16x^4)^{1/2} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(16x^{4}\right)^{\frac{1}{2}}$$
- step1: Use the properties of exponents:
  $$16^{\frac{1}{2}}\left(x^{4}\right)^{\frac{1}{2}}$$
- step2: Evaluate the power:
  $$4x^{2}$$
The simplified form of $$ \left(16 x^{4}\right)^{\frac{1}{2}} $$ is $$ 4x^{2} $$.

Therefore, the correct choice is:
A. $$ \left(16 x^{4}\right)^{\frac{1}{2}} = 4x^{2} $$
$$ \left(16 x^{4}\right)^{\frac{1}{2}} = 4x^{2} $$

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