Question
Use radical notation to write the expression. Simplify if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( 8^{\frac{2}{3}}=\square \) B. The answer is not a real number.
Ask by Chavez Ford. in the United States
Mar 15,2025
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Tutor-Verified Answer
Answer
\(8^{\frac{2}{3}} = 4\).
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A. \( 8^{\frac{2}{3}}=\sqrt[3]{8^2} \) Since \( 8 \) is \( 2^3 \), we can simplify it: \( \sqrt[3]{(2^3)^2} = \sqrt[3]{2^6} = 2^2 = 4 \). Therefore, the final answer is \( 4 \).