Which of the following is the rational exponent expression of third root of 4n?

a. (4n)^3
b. 3n^4
c. (4n)^1/3
d. 4n^1/3

Question

Which of the following is the rational exponent expression of third root of 4n?

a. (4n)^3
b. 3n^4 
c. (4n)^1/3
d. 4n^1/3

nick5006 · Answer

its C, btw

jhonyy9 · Answer

what is your opinion please ?

do you know the formula sqrt(x) = x^(1/2) so how you see the denominator mean the index of radical

jhonyy9 · Answer

so using this given formula you see that choice c. is righ,correct sure - exactly how wrote above nick5006

nick5006 · Answer

sorry for leaving without explaining, i was working on a problem of my own. Anyways a radical can be written as a fraction. Taking the rule that $$\sqrt[a]{x^b}=x^{b/a}$$

welshfella · Answer

Glad you explained - I was going to remind you to do that

nick5006 · Answer

But your trying to find the cube root of 4n, and (4n)^1/3 is the right answer because your taking the cube root of 4n not just "n"... and that's why 4n^1/3 is wrong

nick5006 · Answer

you're*

nick5006 · Answer

@jhonyy9

jhonyy9 · Answer

yes Nick - i m here