## Elementary Algebra

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.