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September 6th, 2012, 08:41 AM   #1
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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:


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
ThePope is offline  
September 6th, 2012, 08:46 AM   #2
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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.
icemanfan is offline  
November 2nd, 2012, 03:54 PM   #3
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Re: fraction in negative exponentiation fraction

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November 4th, 2012, 06:05 AM   #4
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Re: fraction in negative exponentiation fraction

Hello, ThePope!


soroban is offline  

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