How do you simplify #\frac { - 2m ^ { 6} n ^ { 5} } { - 8m ^ { 6} }#?

1 Answer
David Drayer · Sena Dzirasa
Mar 31, 2017

Divide out common factors leaving
#n^5/4#

Explanation:

# -2 m^6n^5 = -1 xx 2 xx m^6 xx n^5#

# -8m^6 = -1 xx 2 xx 4 xx m^6 xx n^5#

The common factors are # -1 xx 2 xx m^6 #

# (n-1 xx 2 xx m^6 xx n^5) /( -1 xx 2 xx m^6) = n^5#

#(-1 xx 2 xx 4 xx m^6)/(-1 xx 2 xx m^6) = 4 # so the result is

# n^5/4#

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