Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 448. (page 1124)

Simplify:
(a) $\sqrt[3]{- 125}$
(b) $\sqrt[4]{- 1296}$
(c)role="math" localid="1650564278430" $\sqrt[5]{- 1024}$

Short Answer

Expert verified

(a) $\sqrt[3]{- 125} = - 5$

(b) localid="1650992488382" $\sqrt[4]{- 1296} =$ Not a real number

Step by step solution

Part (a) Step 1: Given Information

The given expression is $\sqrt[3]{- 125}$ .

Part (a) Step 2: Simplification

As $- 125 = {(- 5)}^{3}$

Expression becomes $\sqrt[3]{{(- 5)}^{3}}$ .

Simplifying gives $- 5$ .

Part (b) Step 1: Given Information

The given expression is $\sqrt[4]{- 1296}$ .

Part (b) Step 2: Simplification

There is no real number whose fourth power is $- 1296$ .

Hence, there is no real number.

Part (c) Step 1: Given Information

The given expression is $\sqrt[5]{- 1024}$ .

Part (c) Step 2: Simplification

As ${(- 4)}^{5} = - 1025$

Expression becomes $\sqrt[5]{{(- 4)}^{5}}$

Simplifying gives $- 4$ .

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91影视

Simplify:
(a) $\sqrt[3]{- 125}$
(b) $\sqrt[4]{- 1296}$
(c)role="math" localid="1650564278430" $\sqrt[5]{- 1024}$

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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91影视

Simplify:(a) -1253(b) -12964(c)role="math" localid="1650564278430" -10245

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Statistics

Mechanics Maths

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify:
(a) $\sqrt[3]{- 125}$
(b) $\sqrt[4]{- 1296}$
(c)role="math" localid="1650564278430" $\sqrt[5]{- 1024}$