# Simple question

1. Jul 16, 2013

### Jbreezy

1. The problem statement, all variables and given/known data

Why is $(-1)^{n+1} (-1)^{n+1} = (-1)^{2n+2}$ but
$(-1)^{n+1} (1)^{n+1} = (-1)^{n+1}$
I thought in both instances you are to just add the exponents.

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Jul 16, 2013

### Zondrina

1 to the power of anything is just 1. Right?

EDIT : Also, to be a bit more general, you need to have the same bases.

3. Jul 16, 2013

### Jbreezy

Thanks. I can't even believe myself some days

4. Jul 16, 2013

### Zondrina

Ha no problem :), we all have those.

5. Jul 16, 2013

### janhaa

Because:
I:
$$a^x\cdot a^x=a^{x+x}$$
II:
$$a^x\cdot b^x=(a\cdot b)^{x}$$