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![\sqrt[3]{10} \times \sqrt[5]{10}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B10%7D++%5Ctimes++%5Csqrt%5B5%5D%7B10%7D+ "\sqrt[3]{10} \times \sqrt[5]{10}")
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![\sqrt[3]{10} \times \sqrt[5]{10} = \sqrt[15]{ 10^{5} } \times \sqrt[15]{ 10^{3} } = \sqrt[15]{ 10^{5+3} } = \sqrt[15]{ 10^{8} }](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B10%7D+%5Ctimes+%5Csqrt%5B5%5D%7B10%7D+%3D+%5Csqrt%5B15%5D%7B+10%5E%7B5%7D+%7D+%5Ctimes+%5Csqrt%5B15%5D%7B+10%5E%7B3%7D+%7D+%3D+%5Csqrt%5B15%5D%7B+10%5E%7B5%2B3%7D+%7D+%3D+%5Csqrt%5B15%5D%7B+10%5E%7B8%7D+%7D+ "\sqrt[3]{10} \times \sqrt[5]{10} = \sqrt[15]{ 10^{5} } \times \sqrt[15]{ 10^{3} } = \sqrt[15]{ 10^{5+3} } = \sqrt[15]{ 10^{8} }")
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