2 Answers

Ramil Amerzyanov · Answer 1 · 2019-08-31T19:42:46+0000

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

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