Question
Use radical notation to write the expression. Simplify if possible. \[ (-1)^{\frac{3}{4}} \] Select the correct choice below and, if necessary, fill in the answer box within your choice. A. \( (-1)^{\frac{3}{4}}=\square \) B. The answer is not a real number. Bify your answer. Type an exact answer, using radicals as needed.)
Ask by Vaughn Ray. in the United States
Mar 15,2025
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Tutor-Verified Answer
Answer
The answer is not a real number.
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Bonus Knowledge
To express \( (-1)^{\frac{3}{4}} \) in radical notation, we can write it as \( \sqrt[4]{(-1)^3} \). Simplifying \( (-1)^3 \) gives us \(-1\), so we have \( \sqrt[4]{-1} \). However, the fourth root of \(-1\) results in a complex number. Therefore, the correct choice is: B. The answer is not a real number.