Math problem help....?

Question

What would be the radical form of 27^2/3. Explanation would help too-thanks.

Answer 1

It would be

³√27^2

Even simpler could be 27 = 3^3

³√3^[(3 *2)]

³√3^6

Now comes the explanation part..

You know that whenever you have the √ sign it always means the number inside the symbol is raised to the power of 1/2

e.g. Saying √3 is the same as saying ²√(3^1) or 3^1/2

So notice that the 1 is inside and the 2 goes to the power of root sign ..now since in your question you have 2/3  the three would go to the power of root and 2 would go inside..

Hope i made it clear enough to understand :)

Answer 2

Top number = power, bottom number = root.

So you have cube root of 27^2

cube root 27 = 3, and 3^2 = 9, so the answer is 9.

The radical form is

(cube root 27)^2