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Simplify: \(\left( {\sqrt {\sqrt[4]{{\sqrt[3]{{{3^8}}}}}} } \right)\left( {\sqrt {\sqrt[4]{{\sqrt[3]{{{3^8}}}}}} } \right)\)1). 32). √33). 3(2/3)4). 8 |
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Answer» $(\LEFT( {\sqrt {\sqrt[4]{{\sqrt[3]{{{3^8}}}}}} } \right)\left( {\sqrt {\sqrt[4]{{\sqrt[3]{{{3^8}}}}}} } \right) = \left( {\sqrt {\sqrt[4]{{\sqrt[3]{{{3^8}}}}}} } \right)\left( {\sqrt {\sqrt[4]{{\sqrt[3]{{{3^8}}}}}} } \right) = {\left( {\sqrt {\sqrt[4]{{\sqrt[3]{{{3^8}}}}}} } \right)^2} = {\left( {{{\left( {{3^8}} \right)}^{1/3}}} \right)^{1/4}} ={\left({3^{8/3}} \right)^{1/4}} = {3^{2/3}})$ |
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