Solve for x 2/3x^(-1/3)=0

Problem

2/3*x(−1/3)=0

Solution

1. Rewrite the expression using positive exponents to better understand the structure of the equation.

2/(3*x(1/3))=0

2. Analyze the fraction to determine if it can ever equal zero. A fraction a/b is equal to zero if and only if the numerator a is zero and the denominator b is non-zero.

2≠0

3. Identify the constraints on the variable. The expression is undefined when the denominator is zero, which occurs at x=0

3*x(1/3)≠0⇒x≠0

4. Conclude that since the numerator is a constant (2 and can never be zero, there are no values of x that satisfy the equation.

Final Answer

2/3*x(−1/3)=0⇒No solution

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