SOLUTION: Simplify, express your answer in positive exponent 1. (-x-^2 y^3) /(5y-^2)^2 2. (a-^2/3 b^3/4) (a^1/4 b^2/3)

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: Simplify, express your answer in positive exponent 1. (-x-^2 y^3) /(5y-^2)^2 2. (a-^2/3 b^3/4) (a^1/4 b^2/3)      Log On

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Question 251257: Simplify, express your answer in positive exponent
1. (-x-^2 y^3) /(5y-^2)^2


2. (a-^2/3 b^3/4) (a^1/4 b^2/3)
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
1. (-x-^2 y^3) /(5y-^2)^2
-x%5E-2y%5E3 / %285y%5E-2%29%5E2
square the denominator . . .
-x%5E-2y%5E3 / 25y%5E-4
rewrite using positive exponents . . .
-y%5E7 / 25x%5E2
2. (a-^2/3 b^3/4) (a^1/4 b^2/3)
a%5E%28-2%2F3%29b%5E%283%2F4%29 * a%5E%281%2F4%29%2Ab%5E%282%2F3%29
When you multiply the bases add the exponents . . .
a%5E%28-5%2F12%29b%5E%2817%2F12%29
rewrite using positive exponents . . .
b%5E%2817%2F12%29+%2F+a%5E%285%2F12%29 or b^(17/12) / a^(5/12)