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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. 232 (page 54)

$\begin{array}{l} Inthefollowingexercise,evaluate. \\ 8 u^{2} v^{3} When \\ u = 鈭� \frac{3}{4} and v = 鈭� \frac{1}{2} \end{array}$

Short Answer

Expert verified

$Theresultofevaluatingtheexpressionis 鈭� \frac{9}{16} .$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ 8 u^{2} v^{3} \\ Also, \\ u = 鈭� \frac{3}{4} and v = 鈭� \frac{1}{2} \\ Wewillevaluatetheexpressionforgivenvaluesof u and v \end{array}$

02

Step 2. Substitute the value of u and v in the given expression

$\begin{array}{l} At u = 鈭� \frac{3}{4} and v = 鈭� \frac{1}{2}, Wehave \\ 鈬� 8 {(鈭� \frac{3}{4})}^{2} {(鈭� \frac{1}{2})}^{3} \\ = 8 (\frac{9}{16}) (鈭� \frac{1}{8}) \\ = \frac{8 脳 9 脳 (鈭� 1)}{16 脳 8} \\ = 鈭� \frac{8 脳 9}{16 脳 8} \\ = 鈭� \frac{9}{16} \end{array}$

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