In another calculation, Rachel needs to evaluate the expression -5fifth root square (- 400^2).

What is the value of this expression?

not sure what "5fifth root square" means

If you just mean 5th root, then

-5 5hroot(-400^2)
= -5 5throot (-2^4*5^2)^2
= -5 5throot(-2^8*5^4)
= -5 * 2 * 5throot(2^4*5^4)
= -10 5throot(10000)