How do you simplify #\frac { ( a ^ { 4} b c ^ { 2} ) ( 3a ^ { 4} b ^ { 3} c ^ { 2} ) ^ { 2} } { ( 3a ^ { 3} b ^ { 3} c ^ { 2} ) ^ {3} }#?

1 Answer
Manasvini Nittala · Jumbotron
Dec 9, 2017

the simplified form is #1/3a^3/b^2#

Explanation:

given #[(a^4bc^2)(3a^4b^3c^2)^2]/(3a^3b^3c^2)^3rArr[(a^4bc^2)(9a^8b^6c^4)]/(27a^9b^9c^6)#

#rArr[9a^(8+4).b^(6+1).c^(4+2)]/(27a^9b^9c^6)rArr(a^12.b^7c^6)/(3a^9b^9c^6)rArr1/3[a^(12-9).b^(7-9).c^(6-6)]#

#rArr1/3a^3/b^2#

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