Write square root of, q, cubed, end square root, cube root of, q, to the power 8 , end cube root

Question

as a single radical using the smallest possible root.

Answer 1

The expression can be written as:

∛(q^8) = ∛(q^(6+2)) = ∛(q^6*q^2) = q^(6/3)*q^(2/3) = q^2 ∛(q^2)