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`

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`