How do you simplify #(\frac { x ^ { - 2} y ^ { - 3} z ^ { 2} } { x ^ { - 4} y ^ { 6} z ^ { - 2} } ) ^ { - 3} #?

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Answer 1 · 2017-07-03T13:46:02

#x^(-6) * y^27 * z^(-12)#

#(x^(-2+4) * y^(-3-6) * z^(2 + 2))^-3#

#= x^(-3*2) * y^(3*9) * z^(-3*4)#

Answer 2 · 2017-07-03T14:49:51

#:.color(magenta)(=y^27/(x^6z^12)#

#((x^-2y^-3z^2)/(x^-4y^6z^-2))^-3#

#:.=(x^(-2+4)y^(-3-6)z^(2+2))^-3#

#:.=(x^2y^-9z^4)^-3#

#:.=x^-6y^27z^-12#

#:.color(magenta)(=y^27/(x^6z^12)#