64 negative cubed divided by 4 to the negative fifth.

Question

the answer is 1/256.

Everytim I do this problem i keep getting 256. Can anyone help me?? PLEASE :)

Answer 1

(64^-3)
--------
4^-5

is the same as

4^5
-----
64^3
but 64 = 8*8 = 4*4*4 = 4^3
so we really have
4^5
----
(4^3)^3
which is
4^5
------
4^9
which is
1/4^4
wich is
1/16^2
which is
1/256 yes, they won

Answer 2

Thank you :)