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\( \left(16 x^{4}\right)^{\frac{1}{2}} \) 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.

Ask by Gordon Thornton. in the United States
Mar 15,2025

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\( \left(16 x^{4}\right)^{\frac{1}{2}} = 4x^{2} \)

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A. \( \left(16 x^{4}\right)^{\frac{1}{2}}=4x^{2} \) This follows from applying the power of a product rule and simplifying: \( \sqrt{16} = 4 \) and \( \sqrt{x^{4}} = x^{2} \). So, combining these gives us \( 4x^{2} \)!

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