Question

$\sqrt[3]{2} \times {2}^{ - 1 \div 3} \times \sqrt[12]{32}$
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Answer 1

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$\sqrt[3]{2} \times {2}^{ - 1 \div 3} \times \sqrt[12]{32} \\ = {2}^{ \frac{1}{3} } \times {2}^{ \frac{ - 1}{3} } </p><p> \times {32}^{12} \\ = {2}^{ \frac{1}{3} } \times {2}^{ \frac{ - 1}{3} } \times {2}^{5 \times 12} \\ = {2}^{ \frac{1}{3} } \times {2}^{ \frac{ - 1}{3} } \times {2}^{60} \\ = {2}^{ \frac{1}{3} + ( \frac{ - 1}{3} ) + 60 } \\ = {2}^{ \frac{1}{3} - \frac{1}{3} + 60 } \\ = {2}^{ \frac{1 - 1 + 180}{3} } \\ = {2}^{ \frac{180}{3} } \\ = {2}^{60}$

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Answer 2

Answer

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