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1 Answer

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by (215 points)
\(2^{\frac{1}{3}} \log_2 64=\sqrt [3]{2} \log_2 2^6 \)

we know \( \log_a x^n=n \log_a x \) and \( \log_n n=1 \) , so we have:

\(2^{\frac{1}{3}} \log_2 64=\sqrt [3]{2} \times 6 \log_2 2=\sqrt [3]{2} \times 6 \)

and placement \( \sqrt[3]{2}=1.25992 \):

\(2^{\frac{1}{3}} \log_2 64=1.25992 \times 6=7.55952 \)

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