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Home Q & A Board Science-Related Homework Help Mathematics
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rjavier1 rjavier1
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12 years ago
Right now i am on the last step of solving an equation it is:

t^1/3 = 1  

Now i understand if it is a t^2, it would be like square rooting the other side, but how does it work when you are doing the inverse of squaring to a fraction, for this example  one-third.?
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wrote...
#1
12 years ago
you amplify everything by 3 so it will be (t^1/3)^3=1^3 so t (1/3*3)=1 hence t^1=1 so t=1
wrote...
#2
12 years ago
t^1/3*t^1/3=t^2/3
t^2/3*t^1/3=t^1
t*t*t=1
wrote...
#3
12 years ago
The inverse of powering to a fraction is powering to the inverse of the fraction.
In this case that is the third power
(t^(1/3)^3 = 1^3
t = 1^3 = 1
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