Answer :

[tex]0.000343=\frac{343}{1,000,000}=\frac{7^3}{100^3}\\\\\sqrt[3]{0.000343}=\sqrt[3]{\frac{7^3}{100^3}}=\frac{\sqrt[3]{7^3}}{\sqrt[3]{100^3}}=\boxed{\frac{7}{100}=0.07}\\\\used:\sqrt[3]{a^3}=a[/tex]

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