To simplify this expression, we will need to use two properties:
[tex]\begin{gathered} b^a\cdot b^c=b^{a+c} \\ (b^a)^c=b^{ac} \end{gathered}[/tex]
Applying the second property first, we have:
[tex](k^5)^2k^2=k^{5\cdot2}k^2=k^{10}k^2[/tex]
Applying the first property now, we have:
[tex]k^{10}k^2=k^{10+2}=k^{12}[/tex]
So, the simpification is:
[tex]k^{12}[/tex]
