Answer:
1/16
Step-by-step explanation:
We want to take the 5th root of 32 raised to the -4th power
32 ^ (-4/5)
The negative moves it to the denominator
1
-------
32^(4/5)
Replace 32 with 2^5
1
-------
2^5^(4/5)
We know that a^b^c = a^(b*c)
1
-------
2^(5*(4/5))
1
-------
2^(4)
We know that 2^4 is 16
1/16