Question

A student simplified the rational expression using the steps shown. (frac{x^{frac{2}{5}} cdot x^{frac{4}{5}}}{x^{frac{2}{5}}})^{frac{1}{2}} = (frac{x^{frac{6}{5}}}{x^{frac{2}{5}}})^{frac{1}{2}} = (x^3)^{frac{1}{2}} = x^{frac{3}{2}} Is the answer correct? Explain.

          A student simplified the rational expression using the steps shown.

(frac{x^{frac{2}{5}} cdot x^{frac{4}{5}}}{x^{frac{2}{5}}})^{frac{1}{2}} = (frac{x^{frac{6}{5}}}{x^{frac{2}{5}}})^{frac{1}{2}} = (x^3)^{frac{1}{2}} = x^{frac{3}{2}}

Is the answer correct? Explain.

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$A student simplified the rational expression using the steps shown. (fracx^frac25 cdot x^frac45x^frac25)^frac12 = (fracx^frac65x^frac25)^frac12 = (x^3)^frac12 = x^frac32 Is the answer correct? Explain.$

Added by Shawn Y.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Vysakh M

03/04/2022

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Unfortunately, the steps the student used to simplify the rational expression are not clearly provided in the question. Show more…

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A student simplified the rational expression using the steps shown. Is the answer correct? Explain.

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