What is the value of the expression below? (27^5/3) ^1/5

The correct answer is 3.

Step-by-step 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.