How do you simplify #\frac { 2b a ^ { 4} \cdot ( - 2a b ^ { 4} ) ^ { 2} } { - 2a ^ { 2} }#?

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Answer 1 · 2017-07-23T06:23:03

#-4a^4b^9#

#(2ba^4*(-2ab^4)^2)/(-2a^2)#

First, we square the factor in brackets.

A] #=> (-2ab^4)^2=4a^2b^8#

Now we multiply the factors in the numerator.

B] #2ba^4*4a^2b^8=8a^6b^9#

The equation now looks like:

#(8a^6b^9)/(-2a^2)#

We now expand the terms in the numerator and denominator and cancel the common ones.

#(2*4*a*a*a*a*a*a*b^9)/(-2*a*a)#

#(1cancel2*4*cancela*cancela*a*a*a*a*b^9)/(-1cancel2*cancela*cancela)#

#-4a^4b^9#