5.
已知幂函数\(f\left(x\right)={\left(m-1\right)}^{2}{x}^{{m}^{2}-4m+2} \)在\(\left(0,+∞\right) \)上单调递增,函数\(g\left(x\right)={2}^{x}-k \) .
\((\)Ⅰ\()\)求\(m \)的值;
\((\)Ⅱ\()\)当\(x∈\left[1,2\right] \)时,记\(f\left(x\right) \),\(g\left(x\right) \)的值域分别为集合\(A,B \),设命题\(p:x∈A \) ,命题\(q:x∈B \),若命题\(p \)是\(q \)成立的必要条件,求实数\(k \)的取值范围.