Question

I WI GIVE A MEDAL!! HELP!! how do I prove this to be false?

X^k+1 divided by X equals X^k

Answer 1

Why do you think it's false?

Answer 2

@jim_thompson5910
Is it true?

Answer 3

It doesn't seem true

Answer 4

so x = x^k right ?

Answer 5

No

Answer 6

It's x^x+1

Answer 7

Here is a pic

Answer 8

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)

Answer 9

Thanks

Answer 10

I gave you a medal

Answer 11

glad to be of help