How do you write #(x/3)^-4# with positive exponents?

1 Answer
Jul 17, 2016

Answer:

#(3/x)^4#

Explanation:

#(a/b)^-m = (b/a)^m#

So, if a fraction is raised to a negative index, the reciprocal of the fraction will have a positive index

This is exactly the law we can apply here.

#(x/3)^-4 = (3/x)^4#

If you wish to write it without brackets it will be.

#3^4/x^4 = 81/x^4#