Question

The volume of a cube is 27n^27 cubic units. What is the length of one side of the cube?

Answer 1

B) 3n^9 units

I just took the quiz on edge

Answer 2

The volume of a cube (V) is given in terms of its side length (s) as

... V = s³

You have

... 27n²⁷ = s³

You may recognize that 27 = 3³, so this can be written as

`3^3\cdot n^(3\cdot 9) = \left(3n^(9)\right)^(3)=s^(3)\\\\3n^(9)=s\qquad\mbox{taking cube roots}`

This result matches your second selection

... 3n⁹ units