Answer:
The correct answer is 3.
Explanation:
1. Let's resolve the expression below:
(27^5/3) ^1/5
( ∛ 27 ⁵ ) ^ 1/5 ⇒ ∛ 27 ⁵ = 27^5/3
( ∛ 3³ ⁵ ) ^ 1/5 ⇒ ∛ 3³ ⁵ = ∛ 27 ⁵
( 3 ⁵) ^ 1/5
⁵√ 3 ⁵ ⇒ ( 3 ⁵) ^ 1/5 = ⁵√ 3 ⁵
3
After making all the calculations and applying all the exponent rules, the final result is 3.