Solve the equation.
left parenthesis 2 x minus 6 right parenthesis Superscript 2 divided by 3
equalsx Superscript 1 divided by 3
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

The given equation is:

\[
\frac{(2x - 6)^2}{3} = x^{\frac{1}{3}}
\]

We can solve this step by step.

### Step 1: Eliminate the denominator
Multiply both sides of the equation by 3 to eliminate the denominator:

\[
(2x - 6)^2 = 3x^{\frac{1}{3}}
\]

### Step 2: Take the cube of both sides
To simplify \(x^{\frac{1}{3}}\), we cube both sides:

\[
(2x - 6)^6 = (3x^{\frac{1}{3}})^3
\]



(2x - 6)^2 / 3 = x^(1/3). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Explore how to solve the equation (2x - 6)^2 / 3 = x^(1/3) step by step. This problem involves algebraic concepts such as quadratic equations, properties of exponents, and cubic roots. Suitable for students in Grades 9-11.

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