How do you multiply #(3x ) ^ { 3} ( - x ^ { 4} ) ^ { 2}#?

1 Answer
Apr 26, 2018

#(3x)^3(-x^4)^2=color(blue)(27x^11#

Explanation:

Multiply:

#(3x)^3(-x^4)^2#

Apply multiplication distributive property: #(ab)^m=a^mb^m#

#3^3x^3(-x^4)^2#

Simplify.

#27x^3(-x^4)^2#

Apply power rule: #(a^m)^n=a^(m*n)#

#27x^3x^(4*2)# #larr# An even number of negatives makes a positive.

Simplify.

#27x^3x^8#

Apply product rule: #a^ma^n=a^(m+n)#

#27x^(3+8)#

Simplify.

#27x^11#