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

1 Answer
Barney V.
Aug 25, 2017

#color(magenta)(27x^6y^15z^21#

Explanation:

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

#:.=(-x^(2xx3)y^(3xx3)z^(4xx3))(-3^(1xx3)y^(2xx3)z^(3xx3))#

#:.=(-x^6y^9z^12)(-3^3y^6z^9)#

#:.=3^3x^6y^(9+6)z^(12+9)#

#:.color(magenta)(=27x^6y^15z^21#

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