How do you simplify #\frac { 36w ^ { 3} } { 4w ^ { 7} }#?

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Answer 1 · 2016-12-10T14:07:26

#9/w^4#

First, convert this to:

#(36/4)(w^3/w^7)#

For the #36/4# we can just use math.

For the #w# terms we can use the rule for exponents:

#color(red)(x^a/x^b = 1/x^(b-a))#

Implementing this rule and doing the math gives:

#9(1/w^(7-3))#

#9(1/w^4)#

#9/w^4#