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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

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
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1 vote
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

User Vinny Coyne
by
8.7k points

2 Answers

1 vote

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
User Lenek
by
8.7k points
4 votes
The answer is B.
(3n^9)^3=27n^27
User SunSparc
by
8.1k points
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