how to write the following in exponential form?

Question

^3vx^2y^3

in other words this:

there is a square root sign and the 3 is sitting ON TOP of the check mark of the square root sign to give it an exponent....and UNDER the square root sign together is x squared and y squared. PLEASE help!

Answer 1

(x²y²) to the 1/3 power
You can also pull out the square in the base to write this as
(xy) to the 2/3 power

Square roots are the same as writing an expression to the 1/2 power, cube roots are the same as the 1/3 power, and so forth.

You can check this by thinking about adding the exponents:
(a)^1/2 * (a)^1/2 = (a)^(1/2 + 1/2) = (a)^1 = a

Answer 2

Your expression is the cube root of (x²y²).

In exponential form it would be written like this:

(x²y²)^1/3, because [(x²y²)^1/3]^3 = x²y²^(3/3) = x²y²^(1) = x²y².

Answer 3

It sounds to me like you mean the cubed root of (x^2y^2), in which case the answer is (xy)^(2/3)

Answer 4

You need to be much clearer about what you are trying to ask. Try again.