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

Problem

(x(1/3))2

Solution

1. Identify the power of a power rule for exponents, which states that (am)n=a(m⋅n)

2. Apply the rule by multiplying the inner exponent 1/3 by the outer exponent 2

3. Multiply the fractions: 1/3⋅2=2/3

4. Rewrite the expression with the new simplified exponent.

Final Answer

(x(1/3))2=x(2/3)

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