ents Question 8, 7.2.15 Points: 0 of 1 Close Use radical notation to write the expression. Simplify if possible. \[ -16^{\frac{1}{4}} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( -16^{\frac{1}{4}}= \) \( \square \) (Type an exact answer, using radicals as needed. Simplify your answer.) B. The answer is not a real number.

To express \(-16^{\frac{1}{4}}\) using radical notation, we can rewrite it as \(-\sqrt[4]{16}\). Since \(16 = 2^4\), we have \(-\sqrt[4]{2^4} = -2\). Thus, we arrive at \(-16^{\frac{1}{4}} = -2\). However, since we're dealing with a negative base and an even root, there's a twist! The fourth root of a negative number is not a real number. So, while we can write it in radical form, the real-world conclusion is that \(-16^{\frac{1}{4}}\) does not yield a real number result, leading us to answer option B. So, in this fun math adventure, both simplifications lead us to the conclusion: A. \( -16^{\frac{1}{4}} = -2 \) B. The answer is not a real number.