Q575. Use the Laws of Exponents to Sim... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q575. (page 1144)

Use the Laws of Exponents to Simplify Expressions with Rational Exponents
$a) \frac{s^{\frac{11}{5}}}{s^{\frac{6}{5}}} b) \frac{z^{\frac{7}{3}}}{z^{\frac{1}{3}}} c) \frac{w^{\frac{2}{7}}}{w^{\frac{9}{7}}}$

Short Answer

Expert verified

$P a r t a) \frac{s^{\frac{11}{5}}}{s^{\frac{6}{5}}} = s P a r t b) \frac{z^{\frac{7}{3}}}{z^{\frac{1}{3}}} = z^{2} P a r t c) \frac{w^{\frac{2}{7}}}{w^{\frac{9}{7}}} = \frac{1}{w} .$

Step by step solution

Part (a)Step 1:Given information

The given expression is $\frac{s^{\frac{11}{5}}}{s^{\frac{6}{5}}} .$

Part (a)Step 2:Simplification

$\frac{s^{\frac{11}{5}}}{s^{\frac{6}{5}}} = s^{\frac{11}{5} - \frac{6}{5}} = s^{\frac{5}{5}} = s H e n c e, \frac{s^{\frac{11}{5}}}{s^{\frac{6}{5}}} = s .$

Part (b)Step 1:Given information

The given expression is $\frac{z^{\frac{7}{3}}}{z^{\frac{1}{3}}} .$

Part (b)Step 2:Simplification

$\frac{z^{\frac{7}{3}}}{z^{\frac{1}{3}}} = z^{\frac{7}{3} - \frac{1}{3}} = z^{\frac{7 - 1}{3}} = z^{2} H e n c e, \frac{z^{\frac{7}{3}}}{z^{\frac{1}{3}}} = z^{2} .$

Part (c)Step 1:Given information

The given expression is $\frac{w^{\frac{2}{7}}}{w^{\frac{9}{7}}} .$

Part (c) Step 2:Simplification

$\frac{w^{\frac{2}{7}}}{w^{\frac{9}{7}}} = w^{\frac{2}{7} - \frac{9}{7}} = w^{\frac{- 7}{7}} = w^{- 1} = \frac{1}{w} H e n c e, \frac{w^{\frac{2}{7}}}{w^{\frac{9}{7}}} = \frac{1}{w} .$

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91影视

Use the Laws of Exponents to Simplify Expressions with Rational Exponents
$a) \frac{s^{\frac{11}{5}}}{s^{\frac{6}{5}}} b) \frac{z^{\frac{7}{3}}}{z^{\frac{1}{3}}} c) \frac{w^{\frac{2}{7}}}{w^{\frac{9}{7}}}$

Short Answer

Step by step solution

Part (a)Step 1:Given information

Part (a)Step 2:Simplification

Part (b)Step 1:Given information

Part (b)Step 2:Simplification

Part (c)Step 1:Given information

Part (c) Step 2:Simplification

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Use the Laws of Exponents to Simplify Expressions with Rational Exponentsa)s115s65b)z73z13c)w27w97

Short Answer

Step by step solution

Part (a)Step 1:Given information

Part (a)Step 2:Simplification

Part (b)Step 1:Given information

Part (b)Step 2:Simplification

Part (c)Step 1:Given information

Part (c) Step 2:Simplification

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Calculus

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Use the Laws of Exponents to Simplify Expressions with Rational Exponents
$a) \frac{s^{\frac{11}{5}}}{s^{\frac{6}{5}}} b) \frac{z^{\frac{7}{3}}}{z^{\frac{1}{3}}} c) \frac{w^{\frac{2}{7}}}{w^{\frac{9}{7}}}$