Question

What is the final product? ^5sqrt4x^2 ^5sqrt4x^2

Answer 1

For this case we have the following expression:
^ 5sqrt4x ^ 2 ^ 5sqrt4x ^ 2
Rewriting the expression we have:
((4x ^ 2) ^ (1/5)) ((4x ^ 2) ^ (1/5))
For power properties we have:
(4x ^ 2) ^ (1/5 + 1/5)
(4x ^ 2) ^ (2/5)
Rewriting we have:
(16x ^ 4) ^ (1/5)
^ 5sqrt16x ^ 4
Answer:
^5sqrt16x^4