SOLUTION: (3x^2)^3(2/3x^-1y)^2 The problem reads...The quantity (three x squared) raised to the third power multiplied by the quantity (two third x raised to the negative one power y) sq

Algebra ->  Exponents -> SOLUTION: (3x^2)^3(2/3x^-1y)^2 The problem reads...The quantity (three x squared) raised to the third power multiplied by the quantity (two third x raised to the negative one power y) sq      Log On


   



Question 53378: (3x^2)^3(2/3x^-1y)^2
The problem reads...The quantity (three x squared) raised to the third power multiplied by the quantity (two third x raised to the negative one power y) squared.
I need to simplify I keep getting 3x^44y^2 (three x raised to the fourth power four y squared) but that is not right.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The problem reads...The quantity (three x squared) raised to the third power multiplied by the quantity (two third x raised to the negative one power y) squared.
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(3x^2)^3 ((2/3)x^-1 y)^2
=(27x^6) ((4/9)x-2 y^2)
=(27)(4/9)x^6 x^-2 y^2
=12x^4y^2
Cheers,
Stan H.