9.
\((1)\)用不等号“\( < \)”连接\(1.{3}^{- \frac{2}{3}},1.{4}^{- \frac{2}{3}},1.{4}^{- \frac{3}{2}} \):_____________________.
\((2)\) 若函数\(f(x)={{a}^{x}}(a > 0,a\ne 1)\)在\([-1,2]\)上的最大值为\(4\),最小值为\(m\),且函数\(g(x)=(1-4m)x\)在\([0,+∞)\)上是增函数,则\(a =\)________.
\((3)\) 已知\(\tan α=- \sqrt{3}\),\( \dfrac{π}{2} < α < π\),那么\(\cos α-\sin α\)的值是________.
\((4)\)已知函数\(f(x)=\begin{cases} & 3x+5(x\leqslant 0) \\ & x+5(0 < x\leqslant 1) \\ & -2x+8(x > 1) \end{cases}\),若\(f\left(x\right)=k \),有两个不相等的实数根,则实数\(k\)的取值范围是________________.