How do you multiply #(\frac { 3x y ^ { 2} } { z ^ { - 1} } ) ^ { - 3} ( y ^ { - 2} z ^ { 5} )#?

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Answer 1 · 2017-03-08T16:17:48

#1/27. z^2/y^8#

Here, #[(3xy^2)/z^-1]^-3. (y^-2 z^5)#

#rArr [3xy^2z^1]^-3. z^5/y^2#

#rArr 1/[3xy^2z]^3. z^5/y^2 #

#rArr 1/[3^3(y^2)^3z^3]. z^5/y^2#

#rArr 1/[27.y^6.z^3]. z^5/y^2#

#rArr [z^5. z^-3]/[27y^8#

#rArr 1/27. z^2/y^8#