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July 14th, 2012, 08:42 AM  #1 
Senior Member Joined: Jan 2010 Posts: 205 Thanks: 0  Exponent rule question
If you have: Is it the same as or or ? 
July 14th, 2012, 08:44 AM  #2 
Senior Member Joined: Jan 2010 Posts: 205 Thanks: 0  Re: Exponent rule question
I'm leaning towards the first one but I just want to be sure

July 14th, 2012, 09:03 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,301 Thanks: 1023  Re: Exponent rule question
Try it on a simple calculator 
July 14th, 2012, 09:19 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Exponent rule question
The first two are equivalent to but you want , which is the third one.

July 14th, 2012, 09:32 AM  #5 
Senior Member Joined: Jan 2010 Posts: 205 Thanks: 0  Re: Exponent rule question
So if I wanted to simplify , it would not be possible? I cannot multiply exponents that are raised to exponents? Because I remember learning that: But wanted to make sure it's not the same thing as what's being presented here 
July 14th, 2012, 09:36 AM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Exponent rule question
You have to consider what the exponents are raising. In the base for the exponent 4 is , but with the base for the exponent 4 is 2, and the base for the exponent is x.

July 14th, 2012, 09:37 AM  #7 
Senior Member Joined: Jan 2010 Posts: 205 Thanks: 0  Re: Exponent rule question
Oh, I see it now. Thanks, just wanted to clarify a differential question

July 14th, 2012, 12:19 PM  #8 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Exponent rule question 
July 14th, 2012, 05:42 PM  #9  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Exponent rule question Quote:
But what you wrote (according to the latex code) is which is much larger (on the order of ).  

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