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

1 Answer
Mar 11, 2017

#216x^6y^3#

Explanation:

Using the #color(blue)"law of exponents"#

#color(red)(bar(ul(|color(white)(2/2)color(black)((a^m)^n=a^(mn))color(white)(2/2)|)))#

Apply this law to each factor inside the bracket.

#rArr(6x^2y)^3#

#=6^((1xx3))x^((2xx3))y^((1xx3))#

#=6^3x^6y^3#

#=216x^6y^3#