What is the cube root of 27 a ^12

3a^4

Step-by-step explanation:

The cube root can be written as ^ 1/3

(27 a ^12) ^ 1/3

We can write (ab) ^c as a^c * b^c

27 ^ 1/3 a ^12 ^1/3

Rewriting 27 as 3^3

3^3 ^ 1/3 a ^12 ^1/3

We also know that a^b^c = a^ (b*c)

3 ^ (3 * 1/3) a ^ (12 * 1/3)

3^1 a^4

3a^4