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

Problem

1/3*x(−2/3)

Solution

1. Identify the negative exponent property, which states that a(−n)=1/(an)

2. Rewrite the term x(−2/3) by moving it to the denominator and changing the sign of the exponent.

3. Combine the terms into a single fraction by multiplying the constants in the denominator.

4. Convert the rational exponent to radical form if necessary, where x(a/b)=√(b,xa)

Final Answer

1/3*x(−2/3)=1/(3√(3,x2))

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