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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 1: Q 523. (page 109)

Evaluate variable expressions with fractions.
$2 x^{2} y^{3}$ when $x = - \frac{2}{3}$ and $y = - \frac{1}{2}$

Short Answer

Expert verified

The value of the given expression is $- \frac{1}{9}$ .

Step by step solution

01

Step 1. Given Information

Consider the expression.

$2 x^{2} y^{3}$

02

Step 2. Evaluate the expression when x=-23. and y=-12

Substitute $- \frac{2}{3}$ for $x$ and $- \frac{1}{2}$ for $y$ into the given expression.

$2 x^{2} y^{3} = 2 {(- \frac{2}{3})}^{2} {(- \frac{1}{2})}^{3}$

Simplify the exponent.

$2 x^{2} y^{3} = 2 (\frac{4}{9}) (- \frac{1}{8})$

03

Step 3. Evaluate the expression.

Simplify.

\begin{array}{rcl} 2 x^{2} y^{3} & = & - \frac{2 路 4 路 1}{9 路 8} \\ = & - \frac{2 路 4 路 1}{9 路 2 路 4} \\ = & - \frac{1}{9} \end{array}

Hence, the value of the given expression is $- \frac{1}{9}$ .

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Most popular questions from this chapter

The length of a rectangle is 7 less than the width. Let w represent the width of the rectangle. Write an expression for the length of the rectangle.

Identify the like terms:

$9, 2 x^{3}, y^{2}, 8 x^{3}, 15, 9 y, 11 y^{2}$

Identify the terms in the expression $4 x^{2} + 5 x + 17$ .

1.2. Use the Language of Algebra

In the following exercises, translate the phrases into algebraic expressions.

seven times the difference of y and one

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