Question

Express the cubed root of a cubed root of the cubed root of 2 with a rational index.

Answer 1

2^(1/27).

Explanation:

That would be [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

Answer 2

`2^{(1)/(27) }`

Explanation:

→ Write in number format

∛∛∛2

→ Rewrite

`2^{(1)/(3) } *2^{(1)/(3) } *2^{(1)/(3) }`

→ Simplify

`2^{(1)/(27) }`