Q. 8.104 In the following exercise ,simpl... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 8.104 (page 807)

In the following exercise ,simplify
$(a) \frac{1}{\sqrt[4]{5}} (b) \sqrt[4]{\frac{7}{128}} (c) \frac{4}{\sqrt[4]{4 x}}$

Short Answer

Expert verified

$(a) \frac{\sqrt[4]{5^{3}}}{5} (b) \frac{\sqrt[4]{56}}{4} (c) \frac{\sqrt[4]{4^{3} x^{3}}}{x}$

Step by step solution

Part (a) Step 1. Given information.

Given expression:

$\frac{1}{\sqrt[4]{5}}$

Part (a) Step 2. Finding solution.

Finding the solution.

Multiply numerator and denominator by the same factor.

Multiply numerator and denominator $\sqrt[4]{5^{3}}$ .

$\frac{1}{\sqrt[4]{5}} 脳 \frac{\sqrt[4]{5^{3}}}{\sqrt[4]{5^{3}}} = \frac{\sqrt[4]{5^{3}}}{\sqrt[4]{5^{3 + 1}}} = \frac{\sqrt[4]{5^{3}}}{5}$

Part (b) Step 1. Given information.

Given expression:

$\sqrt[4]{\frac{7}{128}}$

Part (b) Step 2. Finding the solution.

Finding the solution.

Multiply numerator and denominator by the same factor.

Multiply numerator and denominator $\sqrt[4]{2^{3}}$ .

$\frac{\sqrt[4]{7}}{\sqrt[4]{128}} = \frac{\sqrt[4]{7}}{\sqrt[4]{2^{7}}} = \frac{\sqrt[4]{7}}{\sqrt[4]{2^{4} . 2^{3}}} = \frac{\sqrt[4]{7}}{\sqrt[4]{2^{4}} . \sqrt[4]{2^{3}}} = \frac{\sqrt[4]{7}}{2 . \sqrt[4]{2^{3}}} = \frac{\sqrt[4]{7}}{2 . \sqrt[4]{2^{3}}} 脳 \frac{\sqrt[4]{2^{3}}}{\sqrt[4]{2^{3}}} = \frac{\sqrt[4]{7} . \sqrt[4]{2^{3}}}{2 . \sqrt[4]{2^{3 + 1}}} = \frac{\sqrt[4]{7} . \sqrt[4]{2^{3}}}{2.2} = \frac{\sqrt[4]{56}}{4}$

Part (c) Step 1. Given information.

Given expression :

$\frac{4}{\sqrt[4]{4 x}}$

Part (c) Step 2. Finding the solution.

Finding the solution.

Multiply numerator and denominator by the same factor.

Multiply numerator and denominator $\sqrt[4]{4^{3} x^{3}}$ .

$\frac{4}{\sqrt[4]{4 x}} 脳 \frac{\sqrt[4]{4^{3} x^{3}}}{\sqrt[4]{4^{3} x^{3}}} = \frac{4 \sqrt[4]{4^{3} x^{3}}}{4 x} = \frac{\sqrt[4]{4^{3} x^{3}}}{x}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In the following exercise ,simplify
$(a) \frac{1}{\sqrt[4]{5}} (b) \sqrt[4]{\frac{7}{128}} (c) \frac{4}{\sqrt[4]{4 x}}$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Finding solution.

Part (b) Step 1. Given information.

Part (b) Step 2. Finding the solution.

Part (c) Step 1. Given information.

Part (c) Step 2. Finding the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Decision Maths

Calculus

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

91影视

In the following exercise ,simplify(a)154(b)71284(c)44x4

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Finding solution.

Part (b) Step 1. Given information.

Part (b) Step 2. Finding the solution.

Part (c) Step 1. Given information.

Part (c) Step 2. Finding the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Decision Maths

Calculus

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercise ,simplify
$(a) \frac{1}{\sqrt[4]{5}} (b) \sqrt[4]{\frac{7}{128}} (c) \frac{4}{\sqrt[4]{4 x}}$