document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #356869 by mathie123(224)\"\" \"About 
You can put this solution on YOUR website!
Okay I think what you are asking is to simplify
\n" ); document.write( "\"3m%2F%2815m%5E3%29\" \r
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\n" ); document.write( "\n" ); document.write( "We have an exponent rule that says something like this:
\n" ); document.write( "\"%28m%5Ea%29%2F%28m%5Eb%29=m%5E%28a-b%29\"\r
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\n" ); document.write( "\n" ); document.write( "So all we are doing is using this and a few other tricks
\n" ); document.write( "\"3m%2F%2815m%5E3%29\"
\n" ); document.write( "can be broken up as follows
\n" ); document.write( "\"%283%2F15%29%2A%28m%2Fm%5E3%29\"
\n" ); document.write( "Now 3/15=1/5 \r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( "\"%28m%2Fm%5E3%29\" is just \"%28m%5E1%2Fm%5E3%29\"
\n" ); document.write( "and using the rule above this is just \"m%5E%281-3%29=m%5E%28-2%29\"\r
\n" ); document.write( "\n" ); document.write( "So from
\n" ); document.write( "\"%283%2F15%29%2A%28m%2Fm%5E3%29\"
\n" ); document.write( "we get
\n" ); document.write( "\"%281%2F5%29%2A%28m%5E%28-2%29%29\"
\n" ); document.write( "\"%28m%5E%28-2%29%29%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "We could also use the rule
\n" ); document.write( "\"m%5E%28-x%29=1%2F%28m%5Ex%29\"
\n" ); document.write( "to write our answer as
\n" ); document.write( "\"1%2F%285%2Am%5E%282%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Hopefully this helps, please let me know if you are unsure:)
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