Question

$4 \sqrt[3]{4} \times 3 \sqrt[4]{3}$
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Answer 1

$\huge{\underline{\tt Solution:-}}$

$\\ \tt \hookrightarrow \: 4(\sqrt[3]{4})\times 3(\sqrt[4]{3})$

$\\ \tt \hookrightarrow \: 4\times 4^{\frac{1}{3}}\times 3\times 4^{\frac{1}{4}}$

$\\ \tt \hookrightarrow \:12^{\frac{1}{3}}\times 12^{\frac{1}{4}}$

$\\ \tt \hookrightarrow 12^{\frac{1}{3}+\frac{1}{4}}$

$\\ \tt \hookrightarrow 12^{\frac{4+3}{12}}$

$\\ \tt \hookrightarrow 12^{\frac{7}{12}}.$