Q. 16 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. 16 (page 755)

In the following exercise, simplify.
(a) $\sqrt[3]{- 64}$
(b) $\sqrt[4]{- 16}$
(c) $\sqrt[5]{- 243}$

Short Answer

Expert verified

Hence,

$\begin{array}{l} (a) \sqrt[3]{鈭� 64} = 鈭� 4 \\ (b) \sqrt[4]{鈭� 16} = Norealsolution \\ (c) \sqrt[5]{鈭� 243} = 鈭� 3 \end{array}$

Step by step solution

Part a. Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (a) \sqrt[3]{鈭� 64} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Simplify

$\begin{array}{l} 鈬� \sqrt[3]{鈭� 64} = \sqrt[3]{{(鈭� 4)}^{3}} [鈭� {(鈭� 4)}^{3} = 鈭� 64] \\ = 鈭� 4 \end{array}$

Part b. Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (b) \sqrt[4]{鈭� 16} \\ Wehavetosimplifythegivenexpression \end{array}$

Step 2. Simplify

$\begin{array}{l} 鈬� \sqrt[4]{鈭� 16} = \sqrt[4]{鈭� 16} \\ [\begin{array}{l} 鈭� {(鈭� 2)}^{4} = 16 \\ {(2)}^{4} = 16 \end{array}] \\ Therefore,norealsolutionexists \end{array}$

Part c. Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (c) \sqrt[5]{鈭� 243} \\ Wehavetosimplifythegivenexpression \end{array}$

Step 2. Simplify

$\begin{array}{l} 鈬� \sqrt[5]{鈭� 243} = \sqrt[5]{{(鈭� 3)}^{5}} [鈭� {(鈭� 3)}^{5} = 鈭� 243] \\ = 鈭� 3 \end{array}$

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91影视

In the following exercise, simplify.
(a) $\sqrt[3]{- 64}$
(b) $\sqrt[4]{- 16}$
(c) $\sqrt[5]{- 243}$

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

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91影视

In the following exercise, simplify.(a)-643(b)-164(c)-2435

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

Pure Maths

Decision Maths

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercise, simplify.
(a) $\sqrt[3]{- 64}$
(b) $\sqrt[4]{- 16}$
(c) $\sqrt[5]{- 243}$