(27^1/3)^4 In Simplest Radical Form

Jasonbradley

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Jun 16, 2024

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Simplifying (27^(1/3))^4

To simplify the expression (27^(1/3))^4, we can use the properties of exponents.

Understanding the Exponents:

• Fractional Exponents: The exponent 1/3 represents the cube root. So, 27^(1/3) is the cube root of 27, which is 3.
• Power of a Power: When raising a power to another power, we multiply the exponents. In this case, (27^(1/3))^4 is the same as 27^(1/3 * 4) or 27^(4/3).

Simplifying the Expression:

1. Calculate the cube root: 27^(1/3) = 3.
2. Raise the result to the fourth power: 3^4 = 81.

Therefore, (27^(1/3))^4 simplified in simplest radical form is 81.