## Elementary Algebra

Let us simplify the left side of the equation: $(4x^{2/3})(x^{3/2})$ We use the associative property to remove the parentheses: $4\times x^{2/3}\times x^{3/2}$ To multiply powers with the same base, we add the exponents: $4x^{\frac{2}{3}+\frac{3}{2}}=4x^{13/6}$. Since $4x^{13/6}\ne4x$, the equation is false.