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

1 Answer
Daniel X.
Mar 19, 2018

#-8x^6 y^9 z^5#

Explanation:

First, square #2x^2 y^4 x# to get #4x^4 y^8 z^2#. Then, multiply it with #-2x^2 y x^3# by combining #-2# and #4# to get #-8#, #x^2# and #x^4# to get #x^6#, #y# and #y^8# to get #y^9#, and #z^3# and #z^2# to get #z^5#. Combining all of these terms gets us #-8x^6 y^9 z^5#.

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