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 ->  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

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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 fractionThis question is from textbook Intermediate Algebra

Answer by josmiceli(6783) 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
%284%5E%281%2F4%29%2As%5E%281%2F3%29%2At%5E%28-1%2F2%29%29+%2F+%284%2As%5E2%2At%5E%28-3%29%29%5E%28-1%2F4%29
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 1+%2F+%28%284%2As%5E2%2At%5E%28-3%29%29%5E%28-1%2F4%29%29+=+%284%2As%5E2%2At%5E%28-3%29%29%5E%281%2F4%29
so now I have
%284%5E%281%2F4%29%2As%5E%281%2F3%29%2At%5E%28-1%2F2%29%29+%2A+%284%2As%5E2%2At%5E%28-3%29%29%5E%281%2F4%29
%284%5E%281%2F4%29%2As%5E%281%2F3%29%2At%5E%28-1%2F2%29%29+%2A+4%5E%281%2F4%29%2A%28s%5E2%29%5E%281%2F4%29%2A%28t%5E%28-3%29%29%5E%281%2F4%29
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
4%5E%281%2F4%29%2A4%5E%281%2F4%29%2As%5E%281%2F3%29%2A+%28s%5E2%29%5E%281%2F4%29%2At%5E%28-1%2F2%29%2A%28t%5E%28-3%29%29%5E%281%2F4%29
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
%284%2As%5E2%2At%5E%28-3%29%29%5E%28-1%2F4%29%2A+%284%5E%281%2F2%29%2As%5E%285%2F6%29%2At%5E%28-5%2F4%29%29
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%28-1%2F4%29%2As%5E%28-1%2F2%29%2At%5E%283%2F4%29%2A4%5E%281%2F2%29%2As%5E%285%2F6%29%2At%5E%28-5%2F4%29=
4%5E%28-1%2F4%29%2A4%5E%281%2F2%29%2As%5E%28-1%2F2%29%2As%5E%285%2F6%29%2At%5E%283%2F4%29%2At%5E%28-5%2F4%29=
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