Answers: 3
![\sqrt[3]{512} = 8](/tpl/images/2414/2877/573df.png)
![\sqrt[n]{x} = x^ {\frac{1}{n}}](/tpl/images/2414/2877/2e883.png)
![\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8](/tpl/images/2414/2877/d7122.png)
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