Posted by **Liz** on Thursday, March 1, 2012 at 12:40pm.

Simplify - 2/(the 6th root of 81)

- Algebra II -
**MathGuru**, Friday, March 2, 2012 at 6:06pm
Let's break this down:

The sixth root of 81 = 81^(1/6)

81 is 9^2, so we have 9^(2*1/6) = 9^(1/3) or the cubed root of 9.

Therefore, to get rid of the radical in the denominator, multiply by the equivalent of 1. Multiply by the cubed root of 3 divided by the cubed root of 3.

2/(cubed root of 9) * (cubed root of 3)/(cubed root of 3)

Now we have:

2(cubed root of 3)

------------------

(cubed root of 9)(cubed root of 3)

2(cubed root of 3)

------------------

(cubed root of 27)

Finally:

2(cubed root of 3)

------------------

3

I hope this helps.

## Answer this Question

## Related Questions

- algebra - Simplify - 2 / (the 6th root of 81)
- Algebra - SIMPLIFY: ROOT 0F 7 * ROOT OF 14 SIMPLIFY: ROOT OF 1/5 EVALUATE, IF ...
- ALGEBRA - SIMPLIFY: 5 ROOT OF 6X +4 ROOT OF 6X IS THE ROOT OF 77 IRRATIONAL OR ...
- Math To: Reiny - This is one whole question: (12) (10xy^3) (3x^2y^2) (5x) (2y) ...
- maths surds please help and explain - Simplify A.1/root a +2 b.root 18/25 c.root...
- Math - Here are the questions I need help with, please help. [(1/4)^-3 divide ...
- Math Ms. Sue - Here are the questions I need help with, please help. [(1/4)^-3 ...
- Math - Simplify: 5th roof of (6th root of 10 * sqaure root of 1000) or: (10^1/6...
- ALGEBRA - SIMPLIFY. ROOT OF 500 SIMPLIFY.ASSUME ALL VARIABLES REPRESENT POSITIVE...
- Math Please Urgent - Here are the questions I need help with, please help. [(1/...