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.

15 units use socratic

step-by-step explanation: 15 units