Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Operations With Rational Expressions - Exercises: 19

Answer

$$2x$$

Work Step by Step

Dividing by a fraction is equivalent to multiplying by its inverse: $$\frac{x^{3}}{8}\div \frac{x^{2}}{16}=\frac{x^{3}}{8}\times \frac{16}{x^{2}}=\bigg(\frac{x^{2}\times x}{8}\bigg)\times \bigg(\frac{8\times 2}{x^{2}}\bigg).$$ Cancel the common factors $x^{2}$ and $8$, and the result is $$2x.$$
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