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

1 Answer
Oct 9, 2017

Answer:

#(3a^2b)^2(2a^3b^4)=color(blue)(18a^7b^6#

Refer to the explanation for the process.

Explanation:

Simplify:

#(3a^2b)^2(2a^3b^4)#

Apply the exponent power rule: #(x^m)^n=x^(m*n)#.
(No exponent is understood to be #1#.)

#(3^(1*2)a^(2*2)b^(1*2))(2a^3b^4)#

Simplify.

#(3^2a^4b^2)(2a^3b^4)=#

#(9a^4b^2)(2a^3b^4)#

Gather like terms.

#(9xx2)(a^(4)a^3)(b^2b^4)#

Apply the exponent product rule: #x^mx^n=x^(m+n)#.

#9xx2a^(4+3)b^(2+4)#

Simplify.

#18a^7b^6#