Question

Could someone explain how to do this, I have no idea how...

Answer 1

2a²

Explanation:

Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.

Lets deal with the top of the fraction first:

4ax3a³

Rearrange it so you have numbers beside numbers and 'a's beside 'a's:

(4x3)x(axa³)

12x(a⁴) (because nᵃxnᵇ=nᵃ⁺ᵇ)

12a⁴

Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²

First divide the numbers: 12/6 =2

Now divide the 'a' parts: a⁴/a²=a² (because nᵃ/nᵇ=nᵃ⁻ᵇ)

Now we have 2a²