3rdroot(6w^7) * 3rdroot(4w^5)
Rewrite the equation, rewrite the variables using exponents
3rdroot(6 * 4) * (w^7/3 * w^5/3)
3rdroot(24) * w^12/3
The variable w is now simplified as w^4. We just need to simplify the portion that is still under the radical.
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (remove a 2 from under the radical, leave a 3)
Write final answer
(2w^4)3rdroot(3)
Answer: A