SOLUTION: I am suppose to simplify this expression with postive exponents only Here is the problem (-2x^6y^-2/5z^3)^-2 I got down to (-2x^6y^-2)^-2/(5z^3)^-2 Then down to (5z^3)^2/(

Algebra ->  Exponents -> SOLUTION: I am suppose to simplify this expression with postive exponents only Here is the problem (-2x^6y^-2/5z^3)^-2 I got down to (-2x^6y^-2)^-2/(5z^3)^-2 Then down to (5z^3)^2/(      Log On


   



Question 644481: I am suppose to simplify this expression with postive exponents only
Here is the problem (-2x^6y^-2/5z^3)^-2
I got down to (-2x^6y^-2)^-2/(5z^3)^-2
Then down to (5z^3)^2/(-2x^6y^-2)^2
Finally I am at 25z^6/4x^12y^-4
How am I suppose to get exponent of negative -4 to positive 4.

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the problem (-2x^6y^-2/5z^3)^-2
I got down to (-2x^6y^-2)^-2/(5z^3)^-2
Then down to (5z^3)^2/(-2x^6y^-2)^2
Finally I am at 25z^6/4x^12y^-4
How am I suppose to get exponent of negative -4 to positive 4.
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Multiply NUM and DEN by y^4
==================
%28-2x%5E6y%5E-2%2F5z%5E3%29%5E-2
= %285z%5E3%2F%28-2x%5E6y%5E-2%29%29%5E2
= 25z%5E6%2F%284x%5E12y%5E-4%29
= 25z%5E6y%5E4%2F4x%5E12

Answer by MathLover1(20849) About Me  (Show Source):