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(8/27)^2/3 Radical Form

less than a minute read Jun 16, 2024
(8/27)^2/3 Radical Form

Simplifying (8/27)^(2/3) in Radical Form

This expression involves fractional exponents, which can be rewritten using radicals. Let's break down the steps:

Understanding Fractional Exponents

The fractional exponent (2/3) indicates both a power and a root:

  • The numerator (2) represents the power to which the base is raised.
  • The denominator (3) represents the root to be taken.

Therefore, (8/27)^(2/3) can be rewritten as: (∛(8/27))^2

Simplifying the Radical

  1. Find the cube root of 8/27: ∛(8/27) = 2/3 (Since 2 x 2 x 2 = 8 and 3 x 3 x 3 = 27)

  2. Square the result: (2/3)^2 = 4/9

Final Answer

Therefore, (8/27)^(2/3) expressed in radical form is 4/9.

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