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

Respuesta :

Here is your answer:

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

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

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

Hope this helps!

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