How do you multiply and simplify #(- 3x ^ { 3} y ^ { 4} z ^ { 3} ) ^ { 3} ( 2y z ^ { 2} )#?

1 Answer
Shwetank Mauria
Jun 13, 2017

#(-3x^3y^4z^3)^3(2yz^2)=-54x^9y^13z^11#

Explanation:

As #(a^m)^n=a^((mxxn))# and #a^mxxa^n=a^((m+n))#

#(-3x^3y^4z^3)^3(2yz^2)#

= #((-3)^3x^(3xx3)y^(4xx3)z^(3xx3))(2yz^2#

= #(-27x^9y^12z^9)xx(2yz^2)#

= #(-27)xx2xxx^9y^(12+1)z^(9+2)#

= #-54x^9y^13z^11#

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