How do you simplify #(\frac { 6x ^ { 2} y ^ { 4} } { 3x ^ { 4} y ^ { 3} } ) ^ { 3}#?

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Answer 1 · 2016-11-05T14:23:21

#(8y^3)/x^6#

First simplify the fraction using exponent rules

=#(2*y/x^2)^3#

=#(8y^3)/x^6#

Answer 2 · 2016-11-05T14:28:10

Cancel out the common terms.......

#((6x^2y^4)/(3x^4y^3))^3# #=# #((6x^2y^3xxy)/(3x^2xxx^2y^3))^3# #=# #((6cancel(x^2)cancel(y^3)xxy)/(3cancel(x^2)xxx^2cancel(y^3)))^3#

#=# #((6y)/(3x^2))^3# #=# #((2y)/x^2)^3# #=# #(8y^3)/x^6#