Answer
True.
Work Step by Step
Let us simplify the left side of the equation: $(3x^{1/6})(2x^{1/3})$
We use the associative property to remove the parentheses: $3\times x^{1/6}\times2\times x^{1/3}$
We use the commutative property to rearrange the terms: $3\times2\times x^{1/6}\times x^{1/3}$
We multiply the constants: $6x^{1/6}x^{1/3}$
To multiply powers with the same base, we add the exponents: $6x^{\frac{1}{6}+\frac{1}{3}}=6x^{1/2}$.
Since this is the same as the right side of the equation, the equation is true.
