Question 634274
(2x^-2y^7 over 4x^4y^-5)^-3
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{{{((2x^-2y^7)/(4x^4y^-5))^-3}}}
Multiply NUM and DEN by x^2
= {{{((2y^7)/(4x^6y^-5))^-3}}}
Multiply NUM and DEN by y^5
= {{{((2y^12)/(4x^6))^-3}}}
Cancel 2
= {{{((y^12)/(2x^6))^-3}}}
Invert
= {{{(2x^6/y^12)^3}}}
Expand
= {{{8x^18/y^36}}}