SOLUTION: Hi there! I am having terrible trouble trying to simplify this expression. Instructions say to simplify and express the answer using positive exponents. [2x^(3/4)*y^(-1/2)]^(-8)

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Hi there! I am having terrible trouble trying to simplify this expression. Instructions say to simplify and express the answer using positive exponents. [2x^(3/4)*y^(-1/2)]^(-8)      Log On


   

Question 104701: Hi there! I am having terrible trouble trying to simplify this expression. Instructions say to simplify and express the answer using positive exponents.
[2x^(3/4)*y^(-1/2)]^(-8)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E%283%2F4%29%2Ay%5E%28-1%2F2%29%29%5E%28-8%29
Use the following exponentiation rule,
%28x%5Em%2Ay%5En%29%5Ep=x%5E%28m%2Ap%29%2Ay%5E%28n%2Ap%29
Distribute the exponent.
Multiply the exponents.
Only positive exponents wanted.
%282x%5E%283%2F4%29%2Ay%5E%28-1%2F2%29%29%5E%28-8%29=y%5E%284%29%2F%28256x%5E%286%29%29Expanded answer.