Giải Thực hành 6 trang 12 Toán 11 tập 2 Chân trời

a) $a^{\frac{3}{5}}.a^{\frac{1}{2}}:a^{-\frac{2}{5}} = a^{\frac{3}{5}+\frac{1}{2}-\frac{-2}{5}}=a^{\frac{3}{2}}$

b) $\sqrt{a^{\frac{1}{2}}.\sqrt{a^{\frac{1}{2}}.\sqrt{a}}} =\sqrt{a^{\frac{1}{2}}.\sqrt{a^{\frac{1}{2}}.a^{\frac{1}{2}}}}=\sqrt{a^{\frac{1}{2}}.\sqrt{a^{\frac{1}{2}+\frac{1}{2}}}}=\sqrt{a^{\frac{1}{2}}.\sqrt{a^{1}}}$

$= \sqrt{a^{\frac{1}{2}}.a^{\frac{1}{2}}} = \sqrt{a^{\frac{1}{2}+\frac{1}{2}}} = \sqrt{a} = a^{\frac{1}{2}}$