How do you multiply and simplify #-\frac { - 2y x ^ { 3} z ^ { 2} } { ( y x ^ { 0} z ^ { 3} \cdot - x ^ { - 4} y ^ { 3} ) ^ { 0} }#?

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Answer 1 · 2017-10-07T09:21:08

#= -2x^3yz^2#

#-\frac { - 2y x ^ { 3} z ^ { 2} } { ( y x ^ { 0} z ^ { 3} \cdot - x ^ { - 4} y ^ { 3} ) ^ { 0} }#

At first glance this seems to be really complicated to simplify!

Note the the power of the denominator is #0#

Recall the law of indices: #x^0 = 1 " "x!=0#

Therefore without any further working at all the denominator is equal to #1#.

#= (-2yx^3z^2)/1#

There is no further simplifying possible except perhaps to arrange the variables in alphabetical order as in the convention.

#= -2x^3yz^2#