How do you simplify #(3x ^ { - 3} y ) ^ { 4} #?

1 Answer
Mar 30, 2017

First, distribute the exponent:

#(3x^-3y)^color(blue)4#

#3^color(blue)4 * (x^-3)^color(blue)4 * y^color(blue)4#

Now simplify all of the terms. Remember that #(a^b)^c = a^(bc)#.

#81 * x^-12 * y^4#

Finally, since the #x# term has a negative exponent, put it in the denominator and make the exponent positive.

#(81y^4)/(x^12)#

Final Answer