how many ways can u write 1/64 as an integer to the power of another integer

It’s 6

There are several ways of doing it:

2^-6 =1 / 64

4^-3 =1 / 64

8^-2=1 / 64

64^ -1=1 / 64

Also:

16^ -3/2 = 1/64

32^ -6/5= 1/64. But the exponents here are not "integers".

Hello notsmart!

\(\frac{1}{64}=\ {\color{blue} 2^{-6}=4^{-3}=8^{-2}=64^{-1}}\)

!