Question
Use radical notation to write the expression. Simplify if possible. \[ -81^{\frac{1}{4}} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( -81^{\frac{1}{4}}= \) \( \square \) (Type an exact answer, using radicals as needed. Simplify your answer.) B. The answer is not a real number.
Ask by Davison Wyatt. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(-81^{\frac{1}{4}} = -3\)
Solution
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The Deep Dive
To express \(-81^{\frac{1}{4}}\) using radical notation, we rewrite it as \(-\sqrt[4]{81}\). Now, simplifying \(\sqrt[4]{81}\), we recognize that \(81 = 3^4\), hence \(\sqrt[4]{81} = 3\). Therefore, the expression simplifies to \(-3\). The final answer is: A. \(-81^{\frac{1}{4}} = -3\)
