Biểu thức \(Q=a^{-2\sqrt{3}}.\left(\dfrac{1}{a^{-\sqrt{3}-1}}\right)^{\sqrt{3}+1}\) rút gọn bằng
\(a^{4+4\sqrt{3}}\). \(a^{2\sqrt{3}}\). \(a^{4+2\sqrt{3}}\). \(a^4\). Hướng dẫn giải:\(Q=a^{-2\sqrt{3}}.\left(\dfrac{1}{a^{-\sqrt{3}-1}}\right)^{\sqrt{3}+1}=a^{-2\sqrt{3}}.a^{\left(\sqrt{3}+1\right).\left(\sqrt{3}+1\right)}\)
\(=a^{-2\sqrt{3}}.a^{4+2\sqrt{3}}=a^{-2\sqrt{3}+4+2\sqrt{3}}=a^4\).