Please express as a single radical?

y^1/3 x x^3/4

Would you please show me how you got the answer?
(I know the right one...but interested in seeing how the right answer is obtained)

Incidentally: Thanks to Eric S, Maine t, alwbsok and others for your efforts in answering these. You've increased my understanding.

2008-07-15T07:39:59Z

(y^1/3) (x^3/4)
The single radical should have a square root sign.
The right answer is:
12th root, x^9y^4
but I don't know how to get there.
Incidentallly..thanks again!

sahsjing2008-07-15T07:13:03Z

Favorite Answer

(y^1/3) (x^3/4) <== Is this what you want?
(y^1/3) (x^3/4) = (x^9 y^4)^(1/12)

a c2008-07-15T07:14:55Z

ok u cant really do anything to this as they are different bases of x and y

y^1/3 is the cube root of y so u can write that as little 3√ y

x^3/4 is the 4th root of y then cubed so little 4√x^3

=little 4√x^3*little 3√ y

Lacie2008-07-15T07:10:17Z

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