![\bf \textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt[3]{5}\cdot \sqrt{2}\implies \sqrt[3]{5^1}\cdot \sqrt[2]{2^1}\implies 5^{\frac{1}{3}}\cdot 2^{\frac{1}{2}}\implies 5^{\frac{2}{6}}\cdot 2^{\frac{3}{6}}\implies \sqrt[6]{5^2}\cdot \sqrt[6]{2^3} \\\\\\ \sqrt[6]{25}\cdot \sqrt[6]{8}\implies \sqrt[6]{25\cdot 8}\implies \sqrt[6]{200}](/tpl/images/0025/5145/d2b85.png)
![\sqrt[6]{200}](/tpl/images/0025/5145/68165.png)
![\sqrt[3]{5}=5^{\frac{1}{3}}](/tpl/images/0025/5145/c835b.png)
and
and
![\sqrt[6]{5^2}*\sqrt[6]{2^3}](/tpl/images/0025/5145/72ab1.png)
which, simplified, is![\sqrt[6]{25}*\sqrt[6]{8}](/tpl/images/0025/5145/d838b.png)
What is the following product? 3 root 5 times root 2
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Mathematics, 28.06.2019 02:10 winstonbendariovvygn
What is the following product? 3 root 5 times root 2
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