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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 231 (page 54)

$\begin{array}{l} Inthefollowingexercise,evaluate. \\ 2 x^{2} y^{3} When \\ x = 鈭� \frac{2}{3} and y = 鈭� \frac{1}{2} \end{array}$

Short Answer

Expert verified

$Theresultonevaluatingtheexpressionis- \frac{1}{9} .$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ 2 x^{2} y^{3} \\ Also, \\ x = 鈭� \frac{2}{3} and y = 鈭� \frac{1}{2} \\ Wewillevaluatetheexpressionforgivenvaluesof x and y . \end{array}$

02

Step 2. Substitute the value of x and y in the given expression

$\begin{array}{l} At x = 鈭� \frac{2}{3} and y = 鈭� \frac{1}{2}, Wehave \\ 鈬� 2 {(鈭� \frac{2}{3})}^{2} {(鈭� \frac{1}{2})}^{3} \\ = 2 (\frac{4}{9}) (鈭� \frac{1}{8}) \\ = \frac{2 脳 4 脳 (鈭� 1)}{9 脳 8} \\ = 鈭� \frac{8}{9 脳 8} \\ = 鈭� \frac{1}{9} \end{array}$

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