How do you simplify #\frac { u ^ { 2} v ^ { 5} } { u ^ { 6} v ^ { 4} }#?

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Answer 1 · 2016-10-21T22:25:51

#u/v^4#

#(u^2v^5)/(u^6v^4)#

Write the factors in expanded form:

#(u*u*v*v*v*v*v)/(u*u*u*u*u*u*v*v*v*v)#

Cancel like factors: #x/x=1#

#(cancelu*cancelu*cancelv*cancelv*cancelv*cancelv*v)/(cancelu*cancelu*u*u*u*u*cancelv*cancelv*cancelv*cancelv)#

=#v/u^4#

OR: Subtract the indices of like bases

#v^(5-4)/u^(6-2)#

=#v/u^4#