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\sqrt[3]{\frac{289\times 306^{2}}{30}}
Calculate 17 to the power of 2 and get 289.
\sqrt[3]{\frac{289\times 93636}{30}}
Calculate 306 to the power of 2 and get 93636.
\sqrt[3]{\frac{27060804}{30}}
Multiply 289 and 93636 to get 27060804.
\sqrt[3]{\frac{4510134}{5}}
Reduce the fraction \frac{27060804}{30} to lowest terms by extracting and canceling out 6.