Q. 17 In the following exercises, simp... [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. 17 (page 755)

In the following exercises, simplify.
$(a) \sqrt[3]{- 125} (b) \sqrt[4]{- 1296} (c) \sqrt[5]{- 1024}$

Short Answer

Expert verified

Hence,

$\begin{array}{l} (a) \sqrt[3]{鈭� 125} = 鈭� 5 \\ (b) \sqrt[4]{鈭� 1296} = Norealsolutionexist \\ (c) \sqrt[5]{鈭� 1024} = 鈭� 4 \end{array}$

Step by step solution

Part a. Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (a) \sqrt[3]{鈭� 125} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Simplify

$\begin{array}{l} 鈬� \sqrt[3]{鈭� 125} = \sqrt[3]{{(鈭� 5)}^{3}} [鈭� {(鈭� 5)}^{3} = 鈭� 125] \\ = 鈭� 5 \end{array}$

Part b. Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (b) \sqrt[4]{鈭� 1296} \\ Wehavetosimplifythegivenexpression \end{array}$

Step 2. Simplify

$\begin{array}{l} 鈬� \sqrt[4]{鈭� 1296} \\ [\begin{array}{l} 鈭� {(鈭� 6)}^{4} = 1296 \\ 鈭� {(6)}^{4} = 1296 \end{array}] \\ Therefore,norealsolutionexists \end{array}$

Part c. Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (c) \sqrt[5]{鈭� 1024} \\ Wehavetosimplifythegivenexpression \end{array}$

Step 2. Simplify

$\begin{array}{l} 鈬� \sqrt[5]{鈭� 1024} [鈭� {(鈭� 4)}^{5} = 鈭� 1024] \\ = 鈭� 4 \end{array}$

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 exercises, simplify.
$(a) \sqrt[3]{- 125} (b) \sqrt[4]{- 1296} (c) \sqrt[5]{- 1024}$

Short Answer

Step by step solution

Part a. Step 1. Given information

Step 2. Simplify

Part b. Step 1. Given information

Step 2. Simplify

Part c. Step 1. Given information

Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Geometry

Logic and Functions

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

91影视

In the following exercises, simplify.(a)-1253(b)-12964(c)-10245

Short Answer

Step by step solution

Part a. Step 1. Given information

Step 2. Simplify

Part b. Step 1. Given information

Step 2. Simplify

Part c. Step 1. Given information

Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Geometry

Logic and Functions

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$(a) \sqrt[3]{- 125} (b) \sqrt[4]{- 1296} (c) \sqrt[5]{- 1024}$