💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Textbooks
Test Prep
Numerade for Schools
Bootcamps
Class
Ask Question
StudyParty
Earn Money
Refer a friend. Get $50! Become an Educator

Log in

Problem

Use rules for exponents to simplify each expressi…

01:13

preview

Get the answer to your homework problem.

Try Numerade free for 7 days

Jeyasree R.

Numerade Educator

Like

Report

Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124 Problem 125 Problem 126 Problem 127 Problem 128 Problem 129 Problem 130 Problem 131 Problem 132

Problem 79 Hard Difficulty

Use rules for exponents to simplify each expression.
$$
\frac{(6 k)^{7}}{(6 k)^{4}}
$$

Answer

$$216 k^{3}$$

Related Courses

Algebra

Elementary and Intermediate Algebra 5th

Chapter 5

Exponents and Polynomials

Section 1

Rules for Exponents

Related Topics

Exponents and Polynomials

Polynomials

Discussion

You must be signed in to discuss.

Top Algebra Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Alayna H.

McMaster University

Maria G.

Algebra Courses

Lectures

Video Thumbnail

01:32

Absolute Value - Example 1

In mathematics, the absolu…

Video Thumbnail

01:11

Absolute Value - Example 2

In mathematics, the absolu…

Join Course

Recommended Videos

00:37

Simplify each expression. …

00:21

Simplify each expression. …

00:15

Simplify each expression. …

01:14

Rewrite each expression wi…

00:31

Simplify. Write the answer…

00:24

Simplify. Write the answer…

00:41

Simplify. Do not use negat…

02:32

Simplify each expression. …

01:48

Simplify each expression. …

01:01

Simplify. Write each answe…

00:13

Use the power rules for ex…

02:12

Use rules for exponents to…

02:56

Simplify each expression.<…

00:26

Use the power rules for ex…

00:18

Write each expression usin…

00:24

Use the power rules for ex…

00:36

Simplify each expression. …

00:22

Simplify each expression u…

00:22

Use the power rules for ex…

00:54

Simplify each expression.<…

Watch More Solved Questions in Chapter 5

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Problem 95

Problem 96

Problem 97

Problem 98

Problem 99

Problem 100

Problem 101

Problem 102

Problem 103

Problem 104

Problem 105

Problem 106

Problem 107

Problem 108

Problem 109

Problem 110

Problem 111

Problem 112

Problem 113

Problem 114

Problem 115

Problem 116

Problem 117

Problem 118

Problem 119

Problem 120

Problem 121

Problem 122

Problem 123

Problem 124

Problem 125

Problem 126

Problem 127

Problem 128

Problem 129

Problem 130

Problem 131

Problem 132

Video Transcript

We need to simplify the given expression using the rule for exponents. The given expression is 6 k. The whole power 7 divided by 6, k the whole power 4 point. We know that the quotient rule for exponents states that a power by a power can be written as a power m minus n. So let us use the quotient rule to simplify the given expression so keeping the base. Let us subtract the exponents that is 7 minus 4 point, so we get 6 k the whole cube the power rule for exponents states that power product rule. If a product is raised into power, then it can be written as x, power into y power n. So raising each factor of the product to power 3, we get 6 cube to 3 and the value of 6 cube is 2 x cube. Hence the solution is 206 k, cube.

We have video lessons for 94.35% of the questions in this textbook

Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra 5th

View More Answers From This Book

Find Another Textbook

Related Topics

Exponents and Polynomials

Polynomials

Top Algebra Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Alayna H.

McMaster University

Maria G.

Numerade Educator

Algebra Courses

Lectures

Video Thumbnail

01:32

Absolute Value - Example 1

In mathematics, the absolute value or modulus |x| of a real number x is its …

Video Thumbnail

01:11

Absolute Value - Example 2

In mathematics, the absolute value or modulus |x| of a real number x is its …

Join Course

Recommended Videos

00:37

Simplify each expression. Write each result using positive exponents only. S…

00:21

Simplify each expression. Write answers using positive exponents.
$$
\…

00:15

Simplify each expression. Write answers using positive exponents.
$$
-…

01:14

Rewrite each expression with only positive exponents. Assume the variables d…

00:31

Simplify. Write the answers with positive exponents only.
$$\left(k^{-7}\…

00:24

Simplify. Write the answers with positive exponents only.
$$\left(k^{-7}\…

00:41

Simplify. Do not use negative exponents in the answer.
$\frac{6}{k^{-2}}$…

02:32

Simplify each expression. Write all answers with only positive
exponents.…

01:48

Simplify each expression. Write all answers with only positive exponents. As…

01:01

Simplify. Write each answer using positive exponents only.
$$
\left(-4…

00:13

Use the power rules for exponents to simplify each expression. Write each an…

02:12

Use rules for exponents to simplify each expression.
$$
\frac{\left(m^…

02:56

Simplify each expression.
$$
\left(2 j^{2} k^{4}\right)^{-5}\left(k^{-…

00:26

Use the power rules for exponents to simplify each expression. Write each an…

00:18

Write each expression using exponents.
$$k \cdot k$$

00:24

Use the power rules for exponents to simplify each expression. Write each an…

00:36

Simplify each expression. Leave answers with exponents.
$$\left(6^{4}\rig…

00:22

Simplify each expression using the power rule.
$$\left(6^{7}\right)^{10}$…

00:22

Use the power rules for exponents to simplify each expression. Write each an…

00:54

Simplify each expression.
$$
8-7\left(k^{3}+3\right)-4
$$

Additional Mathematics Questions

find-each-product-see-example-1-d022

00:31

Find each product. See Example 1.
$$
(d+0.2)^{2}
$$

factor-h214r514r

00:12

Factor.
$$
h^{2}(14+r)+5(14+r)
$$

perform-the-operations-left4-c23-c-2rightleft3-c24-c2right

01:35

Perform the operations.
$$
\left(4 c^{2}+3 c-2\right)+\left(3 c^{2}+4 …

find-each-product-see-example-1-1-3-y2

00:38

Find each product. See Example 1.
$$
(1-3 y)^{2}
$$

$use-the-power-of-a-quotient-rule-for-exponents-to-simplify-each-expression-leftfrac8-a2$

01:56

Use the power of a quotient rule for exponents to simplify each expression.<…

factor-if-an-expression-is-prime-so-indicate-4-t2-16-t7

01:15

Factor. If an expression is prime, so indicate.
$$
4 t^{2}-16 t+7
$…

perform-the-operations-32-u3-16-u3

00:25

Perform the operations.
$$
-32 u^{3}-16 u^{3}
$$

factor-see-example-3-or-example-10-u2u-42

01:42

Factor. See Example 3 or Example $10 .$
$$u^{2}+u-42$$

factor-see-example-6-or-example-11-m2m-n-6-n2

01:29

Factor. See Example 6 or Example 11.
$$m^{2}+m n-6 n^{2}$$

geometry-problems-insulation-the-area-of-the-rectangular-slab-of-foam-insulation-in-the-illustratio

04:53

Geometry Problems
Insulation. The area of the rectangular slab of foam in…

Add To Playlist

Add to Existing Playlist

OR

Create a New Playlist

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Typo in question

Answer is wrong

Video playback is not visible

Audio playback is not audible

Answer is not helpful

Other

Get 24/7 study help with our app

Available on iOS and Android

About

Our Story
Careers
Our Educators
Numerade Blog

Browse

Bootcamps
Books
Topics
Test Prep
Ask Directory

Support

Help
Privacy Policy
Terms of Service

Get started