transform expression to radical form (8/27)⅔​

Answer:Here's how to transform the expression (8/27)⅔ to radical form: Understanding the ExponentThe exponent ⅔ represents a combination of a fractional exponent and a power.The denominator (2) of the fraction indicates the root to take.The numerator (3) indicates the power to raise the result to. StepsTake the Cube Root: Since the denominator of the exponent is 2, we take the cube root of the base: ∛(8/27)Raise to the Power of 3: Since the numerator of the exponent is 3, we raise the result to the power of 3: (∛(8/27))³ Simplifying∛(8/27) = 2/3 (because 2³ = 8 and 3³ = 27)(2/3)³ = (2/3) * (2/3) * (2/3) = 8/27 Therefore, the radical form of (8/27)⅔ is (∛(8/27))³ or simply 8/27.

Answered by alixzamarirapacon | 2024-10-20