Question

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

A. 3n^3
B. 3n^9
C. 27n^3
D. 27n^9

Answer 1

The answer is B.
(3n^9)^3=27n^27

Answer 2

$V=a^3\\\\ a^3=27n^{27}\\\\ a^3=3^3 \cdot n^{9\cdot 3}\\\\ a^3=3^3 \cdot (n^9)^3\\\\ a^3=(3n^9)^3\\\\ a=3n^3$

Answer B