## anonymous one year ago I WI GIVE A MEDAL!! HELP!! how do I prove this to be false? X^k+1 divided by X equals X^k

1. jim_thompson5910

Why do you think it's false?

2. anonymous

@jim_thompson5910 Is it true?

3. anonymous

It doesn't seem true

4. anonymous

so x = x^k right ?

5. anonymous

No

6. anonymous

It's x^x+1

7. anonymous

Here is a pic

8. jim_thompson5910

Rule $\Large \frac{x^a}{x^b} = x^{a-b}$ It is true because $\Large \frac{x^{k+1}}{x}$ $\Large \frac{x^{k+1}}{x^1}$ $\Large x^{(k+1)-(1)} ... \text{Use the rule given above}$ $\Large x^{k+1-1}$ $\Large x^{k+0}$ $\Large x^{k}$ So that is why $\Large \frac{x^{k+1}}{x} = x^k$ (where x is nonzero)

9. anonymous

Thanks

10. anonymous

I gave you a medal

11. jim_thompson5910