Hello,
What you do is try to separate parts so you can do it a little at a time.
One way to do this is to first break up the problem into:
64^(-2/3)*(x^(-3))^(-2/3)
Now the first part is:
64^(-2/3)
which equals:
(1/64)^(2/3)
and the second part is:
(x^(-3))^(-2/3)
which equals:
(x^3)^(2/3)
So the first part:
(1/64)^(2/3)
is the same as:
1/(64^(2/3))
and the 2/3 means take the third root and then square it, so we get:
1/(4)^2
which equals:
1/16
and the second part:
(x^(-3))^(-2/3)
is the same as:
(x^3)^(2/3)
which means take the third root of x^3 and then square it, so we get:
x^2
Now multiplying these two new parts back together we get:
(1/16)*x^2
or rewritten:
x^2/16
which is the answer.