Question
2. Evaluate: \( \sqrt[3]{8^{2}}= \)
Ask by Haynes Gibson. in Papua New Guinea
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \sqrt[3]{8^{2}} = 4 \)
Solution
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Extra Insights
Let’s break it down step by step! The expression \( \sqrt[3]{8^{2}} \) can be simplified. We know that \( 8 = 2^3 \), so we can rewrite it as \( \sqrt[3]{(2^3)^{2}} \). Applying the power of a power rule, we get \( (2^3)^{2} = 2^{6} \). Now, taking the cube root gives us \( \sqrt[3]{2^{6}} = 2^{6/3} = 2^2 = 4 \). So, the final answer is \( 4 \).
