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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q6. (page 463)

Simplify each expression. Assume that no denominator equals 0.
$\frac{2 x y^{鈭� 7}}{8 x}$

Short Answer

Expert verified

The expression $\frac{2 x y^{鈭� 7}}{8 x}$ can be simplified to $\frac{1}{4} y^{鈭� 7}$ .

Step by step solution

01

Step 1. Group powers with same base.

Group powers with same base in given expression.

$(\frac{2}{8}) (\frac{x}{x}) y^{鈭� 7}$

02

Step 2. Write quotient of powers rule.

For any nonzero number x and any integers m and n, $\frac{x^{m}}{x^{n}} = x^{m 鈭� n}$ .

03

Step 3. Apply quotient of powers rule to given expression.

Apply quotient of powers rule to step 1.

$\frac{2}{8} x^{1 鈭� 1} y^{鈭� 7}$

04

Step 4. Simplify the expression.

Simplify the expression obtained in step 3.

$\frac{1}{4} x^{0} y^{鈭� 7} = \frac{1}{4} y^{鈭� 7}$

Therefore, $\frac{2 x y^{鈭� 7}}{8 x}$ can be simplified to $\frac{1}{4} y^{鈭� 7}$ .

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Most popular questions from this chapter

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Which inequality is shown in the graph?

F $y 鈮� \frac{鈭� 2}{3} x 鈭� 1$

G $y 鈮� \frac{鈭� 3}{4} x 鈭� 1$

H $y 鈮� \frac{鈭� 2}{3} x + 1$

J $y 鈮� \frac{鈭� 3}{4} x + 1$

Simplify the expression

${(鈭� 7 a b^{4} c)}^{3} {[{(2 a^{2} c)}^{2}]}^{3}$

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Express the perimeter of the rectangle below polynomial.

F $3 x^{2} 鈭� 4 x + 7$

G $3 x^{2} + x + 7$

H $6 x^{2} 鈭� 8 x + 14$

J $6 x^{2} 鈭� 4 x + 7$

Choose a term from the Key Vocabulary list above that best describes the given expression.

$x^{2} 鈭� 3 x + 2$

Evaluate each product or quotient. Express the results in scientific notations.

$\frac{8.8 脳 10^{2}}{4 脳 10^{鈭� 4}}$

See all solutions

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