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25 September, 14:32

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

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Answers (1)
  1. 25 September, 16:07
    0
    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.
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