How do you simplify #\frac { ( w ^ { 3} ) ^ { 2} ( w ^ { 4} ) ^ { 5} } { ( w ^ { 4} ) ^ { 2} }#?

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Answer 1 · 2017-05-24T13:40:15

#w^18#

You would simplify the exponents

#(w^3)^2 = w^6#
#(w^4)^5 = w^20#
#(w^4)^2 = w^8#

You end up with this:

#(w^6* w^20)/w^8#

Using multiplication exponent rule:

#(w^26)/w^8#

Using division exponent rule and you end up with this:

#w^18#