SOLUTION: Please help me simplify and write the answer with all exponents positive {{{(4w^-3y^4/p^-2)^-2 * (p^7y^-1/w^2)^4}}}

Algebra ->  Rational-functions -> SOLUTION: Please help me simplify and write the answer with all exponents positive {{{(4w^-3y^4/p^-2)^-2 * (p^7y^-1/w^2)^4}}}       Log On


   

Question 455555: Please help me simplify and write the answer with all exponents positive
%284w%5E-3y%5E4%2Fp%5E-2%29%5E-2++%2A++%28p%5E7y%5E-1%2Fw%5E2%29%5E4



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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify and write the answer with all exponents positive
%284w%5E-3y%5E4%2Fp%5E-2%29%5E-2++%2A++%28p%5E7y%5E-1%2Fw%5E2%29%5E4
Reciprocal gets rid of the -2 on the 1st fraction
%28%28p%5E-2%29%2F%284w%5E-3y%5E4%29%29%5E2++%2A++%28p%5E7y%5E-1%2Fw%5E2%29%5E4
term reciprocals, Raise the powers inside the brackets:
%28%28w%5E3%29%2F%284p%5E2y%5E4%29%29%5E2 * %28%28p%5E7%29%2F%28yw%5E2%29%29%5E4 = %28%28w%5E6%29%2F%2816p%5E4y%5E8%29%29 * %28%28p%5E28%29%2F%28y%5E4w%5E8%29%29
Cancel
%281%2F%2816y%5E8%29%29 * %28%28p%5E24%29%2F%28y%5E4w%5E2%29%29 = %28%28p%5E24%29%2F%2816y%5E12w%5E2%29%29