how would you write (11/20)^-6 as a single power... don't evaluate.

it is already written as a single power. However, if you want a positive power, then

(11/20)^-6 = 1/(11/20)^6 = (20/11)^6

To write (11/20)^-6 as a single power, you can apply the rule of exponents that states: (a/b)^-n = (b/a)^n.

So, let's apply this rule to (11/20)^-6:

(11/20)^-6 = (20/11)^6

Hence, (11/20)^-6 can be written as (20/11)^6.