Question

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

Answer 1

Answer:

$2^{\frac{1}{27} }$

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

$2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }$

→ Simplify

$2^{\frac{1}{27} }$

Answer 2

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

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

= 2^(1/27)