What is the cube root of 32.768
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32768 = 1024 × 32 = 2¹⁰ × 2⁵ = 2¹⁵
![\sqrt[3]{2^{15}}=2^{15\times\frac13}=2^5=32\\\\\sqrt[3]{32.768}=\sqrt[3]{32768}\times\sqrt[3]{0.001}=32\times0.1=3.2\\\\3.2^3=32.768](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%5E%7B15%7D%7D%3D2%5E%7B15%5Ctimes%5Cfrac13%7D%3D2%5E5%3D32%5C%5C%5C%5C%5Csqrt%5B3%5D%7B32.768%7D%3D%5Csqrt%5B3%5D%7B32768%7D%5Ctimes%5Csqrt%5B3%5D%7B0.001%7D%3D32%5Ctimes0.1%3D3.2%5C%5C%5C%5C3.2%5E3%3D32.768 "\sqrt[3]{2^{15}}=2^{15\times\frac13}=2^5=32\\\\\sqrt[3]{32.768}=\sqrt[3]{32768}\times\sqrt[3]{0.001}=32\times0.1=3.2\\\\3.2^3=32.768")
Answer: 3.2
Answer: 3.2
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