Answers: 3
![\large\boxed{\sqrt[5]{1024}=4}](/tpl/images/0398/8949/e29cc.png)
![\begin{array}{c|c}1024&2\\512&2\\256&2\\128&2\\64&2\\32&2\\16&2\\8&2\\4&2\\2&2\\1\end{array}\\\\1024=\underbrace{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}_{10}=2^{10}\\\\\sqrt[5]{1024}=\sqrt[5]{2^{10}}\\\\\text{Use}\ (a^n)^m=a^{nm}\\\\=\sqrt[5]{2^{2\cdot5}}=\sqrt[5]{(2^2)^5}=\sqrt[5]{4^5}\\\\\text{Use}\ \sqrt[n]{a^n}=a\\\\=\boxed4](/tpl/images/0398/8949/660d2.png)
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