Question #d3cb9

2 Answers
Nov 3, 2017

#1/(9*x^4)#

or

#1/9*x^-4#

Explanation:

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

#=1/(3x^2)^(2)#

#=1/(3^2*(x^2)^2)#

#=1/(9*x^4)#

#=1/9*x^-4#

Nov 3, 2017

#1/(9x^4)#

Explanation:

#color(blue)((3x^2)^(-2)#

Remember,

#color(brown)((x)^-y=1/(x)^y#

So,

#rarr1/(3x^2)^2#

Now,

#color(brown)((xy)^z=x^zy^z#

So,

#rarr1/(3^2x^(2(2)))#

#color(green)(rArr1/(9x^4)#

Hope this helps!!! ☺☻