Answer:
The answer is

Explanation:
Volume of a cube = l³
where
l is the length of one side
From the question the volume is

The length of one side is

Find the cube root of both sides
That's
![l = \sqrt[3]{ {27n}^(27) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/773kgcdvhdhaqee5heg61p9daeeqx5wgry.png)
Write the equation in exponent form
That's
![\sqrt[3]{ {3}^(3) {n}^(27) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/ba8wdd15pojagp4kp8i22boc05mh66vjf8.png)
But
![\sqrt[3]{x} = {x}^{ (1)/(3) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/ctgx1rit7qcenem3yahlgowjz85s0m63ff.png)
So we have

We have

So we have the final answer as

Hope this helps you