Question

simplify: the little 3 over the square root of 32x^5y^9

Answer 1

That's called a cube root. It's the same as raising the quantity to the power of 1/3. (A square root is to the power of 1/2)
32 = 2^5
32^(1/3) = 2^(5/3)
(x^5)^(1/3) = x^(5/3)
(y^9)^(1/3) = y^3
2^(5/3) * x^(5/3) * y^3 is the most simplified answer

Answer 2

is that how it is written in radical notation?

Answer 3

I'm not using radicals. I'm raising them to exponents to forgo any problems of communicating how to write that as a radical. Do you need it in radical notation?

Answer 4

yes that is where i get confused.

Answer 5

... is there a way to solve for radical notation?

Answer 6

Sorry about not getting back to you.
given the final answer of: 2^(5/3) * x^(5/3) * y^3
You can write the radical sign with the 3, denoting a cube root, with 32*x^5*y^9 within it, and that would be in radical form.
However, you can further simplify it still while maintaining radical form. Such as:
2^(5/3) pulled out of the radical.
Also, y^(9/3) is equal to y^3
So you have y^3 * 2^(5/3) * cube root(x^5).
Or you can have y^3 * cuberoot(32*x^5).
Choose whichever you think is most applicable in your case.

Answer 7

THANKS! honestly your descriptions are helping me out!!

Answer 8

You're welcome.