Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Concept Quiz 11.3 - Page 489: 10



Work Step by Step

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.
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