How do you simplify #\frac { 56w ^ { 5} } { 16w ^ { 3} }#?

1 Answer
David Drayer
Dec 10, 2016

Divide out common factors which equal 1

#7w^2#

Explanation:

First factor both the numerator and denominator

# 56w^5# = # 8xx7 xx w xx w xx w xx w xx w#

#16w^3 # = # 8 xx 2 xx w xx w xx w #

8/8 = 1 : #( w xx w xx w )/(w xx w xx w ) # = 1 so

#( 56w^5)/(16w^3)# = #(7w^2)/2#

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