simplify [cube root x 2] 3/4
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![\sqrt[3]{( { {x}^{2}) }^{ \frac{3}{4} } } \\ \\ \\ = ({ {x}^{2} )}^{ \frac{3 \times 1}{4 \times 3} } \\ \\ \\ = { {(x)}^{2} }^{ \frac{1}{4} } \\ \\ \\ = {x}^{ \frac{1}{2} } \\ \\ = \sqrt{x} \sqrt[3]{( { {x}^{2}) }^{ \frac{3}{4} } } \\ \\ \\ = ({ {x}^{2} )}^{ \frac{3 \times 1}{4 \times 3} } \\ \\ \\ = { {(x)}^{2} }^{ \frac{1}{4} } \\ \\ \\ = {x}^{ \frac{1}{2} } \\ \\ = \sqrt{x}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B%28+%7B+%7Bx%7D%5E%7B2%7D%29+%7D%5E%7B+%5Cfrac%7B3%7D%7B4%7D+%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%28%7B+%7Bx%7D%5E%7B2%7D+%29%7D%5E%7B+%5Cfrac%7B3+%5Ctimes+1%7D%7B4+%5Ctimes+3%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%7B+%7B%28x%29%7D%5E%7B2%7D+%7D%5E%7B+%5Cfrac%7B1%7D%7B4%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%7Bx%7D%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D++%5C%5C++%5C%5C++%3D++%5Csqrt%7Bx%7D+)
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