SOLUTION: I am having problem with the fractions. 4(1/4)s(1/3) T(-1/2) ___________ ________ [4s(2)t(-3)](-1/4) All the numbers in parenthesis are exponents and the numbers in the bracket

Algebra ->  Radicals -> SOLUTION: I am having problem with the fractions. 4(1/4)s(1/3) T(-1/2) ___________ ________ [4s(2)t(-3)](-1/4) All the numbers in parenthesis are exponents and the numbers in the bracket      Log On


   

Question 31146This question is from textbook Intermediate Algebra
: I am having problem with the fractions.
4(1/4)s(1/3) T(-1/2)
____________________
[4s(2)t(-3)](-1/4)
All the numbers in parenthesis are exponents and the numbers in the brackets are together and -1/4 is its exponent the line represents a fraction This question is from textbook Intermediate Algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll give it a shot
If I read it right, it's

everything on the bottom can be brought up to the top just
by changing ther sign of the exponent -1/4 to +1/4
that's because
so now I have


This is because %28a%5Eb+%2Ac%5Ed%29%5Ef+=+a%5E%28b%2Af%29%2Ac%5E%28d%2Af%29
now I collect and combine terms

now I use a%5Eb%2Aa%5Ec+=+a%5E%28b%2Bc%29
4%5E%281%2F2%29%2As%5E%281%2F3%29%2A+s%5E%281%2F2%29%2At%5E%28-1%2F2%29%2A+t%5E%28-3%2F4%29
4%5E%281%2F2%29%2As%5E%285%2F6%29%2At%5E%28-5%2F4%29 this is the solution
This actually checks out OK because
if a%2Fb+=+c then b%2Ac+=+a

should equal 4%5E%281%2F4%29%2As%5E%281%2F3%29%2At%5E%28-1%2F2%29%29
and it actually does
=
=
4%5E%281%2F4%29%2As%5E%281%2F3%29%2At%5E%28-1%2F2%29%29
and that's the numerator
hope you follow this. . . it's a good problem