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September 6th, 2012, 08:41 AM  #1 
Newbie Joined: Sep 2012 Posts: 11 Thanks: 0  fraction in negative exponentiation fraction
I really don't know how to spell that correctly in english, but anyways. I know my fair share of fractions and exponentials, but I got stuck on this one: (1/1/3 Where 1/3 is the exponential and 1/8 is just a normal fraction (is it called exponentials in english? for example: 2 in the exponential 5 is 32(because 2*2*2*2*2=32) So in words it should be something like (One over eight) in minus one third I hoped I managed to explain this properly, ps. I looked up the answer in the book and it turns out to be 2. But i still want to know how its done 
September 6th, 2012, 08:46 AM  #2 
Senior Member Joined: Feb 2012 Posts: 628 Thanks: 1  Re: fraction in negative exponentiation fraction
The word in English is simply exponent. Now, we are looking at . Using the laws of exponents, we know that the negative sign in the exponent means to take the reciprocal. So, , since the reciprocal of is 8. Now, a fractional exponent means that you are taking a root of the number. Since the fraction is , we are taking the third root (normally referred to in English as the cube root) of 8. Since , the cube root of 8 is 2, and that is your answer. 
November 2nd, 2012, 03:54 PM  #3 
Newbie Joined: Nov 2012 From: Rio de Janeiro, Brazil Posts: 2 Thanks: 0  Re: fraction in negative exponentiation fraction 
November 4th, 2012, 06:05 AM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: fraction in negative exponentiation fraction Hello, ThePope! Quote:  

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exponentiation, fraction, negative 
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