Question

How do you simplify `x^{4} \cdot \frac{y^{6}}{x^{2}}`?

Answer 1

`x^2.y^6`

Explanation:

`x^4=x.x.x.x=x^2.x^2`

If you do not understand letters, try to use numbers. Let's say, `x=2=>x^4=2^4=2.2.2.2=(2^2).(2^2)=4.4=16`

The dot means multiplication. It is the same as saying `2^4=2xx2xx2xx2`

So `x^4.(y^6)/x^2=x^2. color (red) cancel (x^2).y^6/ color (red) cancel (x^2)=x^2.y^6` because by canceling `x^2` and `x^2` I get `1` and `1` which does not really matter because we are multiplying.

Your answer is `x^2.y^6`

Hope this helps :)