(x^(1/3))^2

Jasonbradley

2 min read

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Jun 17, 2024

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Simplifying (x^(1/3))^2

In mathematics, simplifying expressions is an essential skill. Today, we'll focus on simplifying the expression (x^(1/3))^2.

Understanding the Basics

• Fractional exponents: The expression x^(1/3) represents the cube root of x. In other words, it's the number that, when multiplied by itself three times, equals x.
• Exponent rules: When raising a power to another power, we multiply the exponents. This rule applies here as well.

Simplifying the Expression

Let's break down the simplification process:

1. Apply the exponent rule: (x^(1/3))^2 = x^((1/3) * 2)
2. Multiply the exponents: x^((1/3) * 2) = x^(2/3)

Therefore, (x^(1/3))^2 simplifies to x^(2/3).

Conclusion

Simplifying expressions like (x^(1/3))^2 involves understanding fractional exponents and applying the fundamental rules of exponents. By carefully applying these rules, we arrive at a simpler and more concise representation of the original expression.