Question

Which of the following is the rational exponent expression of third root of 4 n? A) (4n)3

B) 3n4

C) quantity of 4 n to the one third power

D) 4 times n to the one third power

Answer 1

Here is your answer:

What you have to do is solve all options to determine your answer:

• A.
  `(4n)^3 = 4^3 * n^3 = 64n^3 = \sqrt[3]{4n.}`
• B.
  `3n^4 =\sqrt[3]{4n.}`
• C.
  `(4n) ^(1)/(3) =\sqrt[3]{4n.}` <---- Your answer.
• D.
  `4 * n^(1)/(3) = 4\sqrt[3]{n} =\sqrt[3]{4n.}`

Therefore your answer is option C since how 4n^1/3 = Square root 3 and 4n.

Hope this helps!