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

User Sajan Parikh
by
2.6k points

2 Answers

16 votes
16 votes

Answer:

2^(1/27).

Explanation:

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

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

= 2^(1/27)

User Timus
by
3.1k points
24 votes
24 votes

Answer:


2^{(1)/(27) }

Explanation:

→ Write in number format

∛∛∛2

→ Rewrite


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

→ Simplify


2^{(1)/(27) }

User Arthur Pereira
by
3.2k points