Lesson 3: Numbers in Exponential Form Raised to a Power

Lesson 3

NYS COMMON CORE MATHEMATICS CURRICULUM

8•1

Lesson 3: Numbers in Exponential Form Raised to a Power Classwork For any number

and any positive integers

and ,

because

Exercise 1

Exercise 3

Exercise 2

Exercise 4 Let be a number.

Exercise 5 Sarah wrote . Correct her mistake. Write an exponential expression using a base of and that would make her answer correct.

and exponents of , ,

Exercise 6 A number

satisfies

. What equation does the number

Lesson 3: Date:

satisfy?

Numbers in Exponential Form Raised to a Power 10/21/14

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

S.11

Lesson 3

NYS COMMON CORE MATHEMATICS CURRICULUM

For any numbers

8•1

and , and positive integer ,

because

Exercise 7

Exercise 10 Let

Exercise 8

be a number.

Exercise 11 Let

and

be numbers.

Exercise 9

Exercise 12

Let , , and be numbers.

Let , , and be numbers.

Exercise 13 Let

and

be numbers,

Lesson 3: Date:

, and let

be a positive integer. How is

related to

and

?

Numbers in Exponential Form Raised to a Power 10/21/14

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

S.12

Lesson 3

NYS COMMON CORE MATHEMATICS CURRICULUM

8•1

Problem Set 1.

Show (prove) in detail why

2.

Show (prove) in detail why

3.

Show (prove) in detail why

Lesson 3: Date:

. for any numbers for any numbers

. , and and for any positive integer .

Numbers in Exponential Form Raised to a Power 10/21/14

© 2014 Common Core, Inc. Some rights reserved. commoncore.org

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

S.13