How do you simplify #-\frac { 9y x ^ { 3} } { 6x ^ { 10} }#?

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Answer 1 · 2017-03-31T19:52:29

factor and divide out common factors

#(-3y)/(2x^7)#

# -9yx^3 = -1 xx 3 xx 3 xx y xx x^3#

# 6x^10 = 3 xx 2 xx x^3 xx x^7 #

The common factors are # 3 xx x^3#

Dividing out the common factors gives

# (-1 xx 3 xx 3 xx y xx x^3)/ ( 3 xx x^3) = -1 xx 3 xx y #

# (3 xx 2 xx x^3 xx x^7)/ ( 3 xx x^3) = 2 xx x^7# The result is

#( -3y)/(2x^7)#