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Câu hỏi: Rút gọn biểu thức $P=\dfrac{{{x}^{\dfrac{1}{3}}}\sqrt[6]{{{x}^{5}}}}{x\sqrt{x}}$ với $x>0$ ?
A. $P=\sqrt{x}$
B. $P=\sqrt[3]{{{x}^{2}}}$
C. $P={{x}^{-\dfrac{2}{3}}}$
D. $P={{x}^{-\dfrac{1}{3}}}$
A. $P=\sqrt{x}$
B. $P=\sqrt[3]{{{x}^{2}}}$
C. $P={{x}^{-\dfrac{2}{3}}}$
D. $P={{x}^{-\dfrac{1}{3}}}$
$P=\dfrac{{{x}^{\dfrac{1}{3}}}\sqrt[6]{{{x}^{5}}}}{x\sqrt{x}}=\dfrac{{{x}^{\dfrac{1}{3}+\dfrac{5}{6}}}}{{{x}^{1+\dfrac{1}{2}}}}={{x}^{\dfrac{7}{6}-\dfrac{3}{2}}}={{x}^{-\dfrac{1}{3}}}$.
Đáp án D.