SOLUTION: So I have a question i'm doing pre-algebra and i'm having a little trouble so the question is 3m over 15m to the third power and in my book it says something like take the top vari

Question 548289: So I have a question i'm doing pre-algebra and i'm having a little trouble so the question is 3m over 15m to the third power and in my book it says something like take the top variable subtracted (-) by the bottom variable and usually if its like m we just make it m to the first power but in the book it shows the bottom number (15) as a one (1) well the problem in the book is 5 to the 6th power over 5 to the 8th power and it takes 6-8 and gets -2 so its 5 to the -2nd power over 5 and it changes it to 1 over 5 to the 2nd power and i'm not sure if everyone of the bottom numbers should be changed to 1 or not so yea I tried it and i'm confused and I did all of the other ones and I think I got them right but i'm just stumped by this one and I've tried and tried but i'm stuck so yea please help me. Wow that was a really long run on sentence but yea thanks.
Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
Okay I think what you are asking is to simplify

We have an exponent rule that says something like this:

So all we are doing is using this and a few other tricks

can be broken up as follows

Now 3/15=1/5
and
is just
and using the rule above this is just
So from

we get

We could also use the rule

to write our answer as

Hopefully this helps, please let me know if you are unsure:)

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