Question

A video-game designer is using the expression 6n^3 in a program to determine points earned, where n is the game level. Simplify the expression for the n^2 level.

Answer 1

Answer: $6n^6$

Step-by-step explanation:

For this exercise you need to remember the Power of a power property. This states that:

$(a^m)^n=a^{mn}$

You know that the given expression $6n^3$ is used to determine points earned, and "n" represents the game level.

Therefore, knowing this, you can to substitute $n^2$  into the expression $6n^3$:

$6(n^2)^3$

Finally, in order to simplify the expression for the $n^2$ level, you must apply the Power of a power property mentioned before.

Therefore, you get:

$6(n^2)^3=6n^{(2*3)}=6n^6$