Answer:
d 4 ^1/3 a^2/3
------------
a
Step-by-step explanation:
(4a) ^ 1/3
----------------
( a^2) ^ 1/3
We know that (bc)^d = b^d * c^d and m^n^p = m^(n+p)
(4) ^ 1/3 * (a) ^ 1/3
----------------
( a) ^(2* 1/3)
(4) ^ 1/3 * (a) ^ 1/3
----------------
( a) ^(2/3)
We know that when we divide powers with the same base, we subtract the exponents
(4) ^ 1/3 * (a) ^ (1/3 - 2/3)
4 ^ (1/3) * a ^ -1/3
4 ^1/3
------------
a^ 1/3
We can multiply the top and bottom by a^2/3
4 ^1/3 a^2/3
------------
a^ 1/3 * a^2/3
4 ^1/3 a^2/3
------------
a
