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Câu hỏi: Rút gọn biểu thức $P=\dfrac{{{a}^{\sqrt{3}+1}}.{{a}^{2-\sqrt{3}}}}{{{\left( {{a}^{\sqrt{2}-2}} \right)}^{\sqrt{2}+2}}}$ với $AIA'.$
A. $P={{a}^{4}}.$
B. $P={{a}^{3}}.$
C. $P={{a}^{5}}.$
D. $P=a.$
A. $P={{a}^{4}}.$
B. $P={{a}^{3}}.$
C. $P={{a}^{5}}.$
D. $P=a.$
Ta có $P=\dfrac{{{a}^{\sqrt{3}+1}}.{{a}^{2-\sqrt{3}}}}{{{\left( {{a}^{\sqrt{2}-2}} \right)}^{\sqrt{2}+2}}}=\dfrac{{{a}^{\sqrt{3}+1+2-\sqrt{3}}}}{{{a}^{\left( \sqrt{2}-2 \right)\left( \sqrt{2}+2 \right)}}}=\dfrac{{{a}^{3}}}{{{a}^{-2}}}={{a}^{5}}.$
Đáp án C.