SOLUTION: The sixth root of 4 divided by the third root of 4.... rationalizing the denominator yields 4 cubed under the sixth root sign divided by 4, however, that doesn't match the text

Algebra.Com
Question 1002517: The sixth root of 4 divided by the third root of 4....
rationalizing the denominator yields 4 cubed under the sixth root sign divided by 4, however, that doesn't match the text answer....
Thanks for your help!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The sixth root of 4 divided by the third root of 4....
rationalizing the denominator yields 4 cubed under the sixth root sign divided by 4, however, that doesn't match the text answer....
-----
4^(1/6) / 4^(1/3)
Multiply numerator and denominator by 4^(2/3) to get:
= 4^(5/6)/4
-----------------
Cheers,
Stan H.
-----------

RELATED QUESTIONS

what is the sum of the cube root of 54 plus the sixth root of... (answered by Fombitz)
2. simplify the following expression by rationalizing the denominator: 5square... (answered by junior403)
Cubed root of 4 divided by cubed root of... (answered by lwsshak3)
What is the sixth root of... (answered by rfer)
Simplify 5 square root of 2 divided 2-i by rationalizing the... (answered by MathLover1)
what is the square root of x to the sixth... (answered by ikdeep)
3√27x^6/y^12 It's the cubed root of 27x to the sixth power divided by "y" to the (answered by ewatrrr)
rationalize the denominator..plz 3+2sq-root of 5 divided by or over.. 3sq-root... (answered by edjones)
Rationalize the Denominator "variable a" divided by the cubic root of... (answered by fractalier)