Answer: [tex]6n^6[/tex]
Step-by-step explanation:
For this exercise you need to remember the Power of a power property. This states that:
[tex](a^m)^n=a^{mn}[/tex]
You know that the given expression [tex]6n^3[/tex] is used to determine points earned, and "n" represents the game level.
Therefore, knowing this, you can to substitute [tex]n^2[/tex] into the expression [tex]6n^3[/tex]:
[tex]6(n^2)^3[/tex]
Finally, in order to simplify the expression for the [tex]n^2[/tex] level, you must apply the Power of a power property mentioned before.
Therefore, you get:
[tex]6(n^2)^3=6n^{(2*3)}=6n^6[/tex]
