Lesson 4-1: Multiplying and Dividing Powers

Lesson 4-2: Negative Exponents & Zero Exponents

Lesson 4-3: Powers of a Power

Lesson 4-4: Scientific Notation

Lesson 4-5: Application Problems

Unit 4: Reasoning About Exponents: Scientific Notation

NC.8.EE.1

NC.8.EE.2

NC.8.EE.3

NC.8.EE.4

GEOMETRYLesson 4-1

Multiplying and Dividing Powers

Lesson 4-1Multiplying and Dividing Powers

Evaluate each of the following.

1. 34 2. 53 3. (-4)2

Operations with Exponents ---

4. 24 23 5. 62 6

When multiplying powers with like bases, ______ the exponents and keep the base the same.

In general, x m xn = xm+n

Multiplication

7. 3ab5 b6 8. (2x4)(8x3) 9. 4m2n 2n4

6. 3x2 2x

Division with Exponents

10. 87

8511. 126

123

When dividing powers with like bases, ____________ theexponents and keep the base the same.In general, xm

xn= xm-n

15. 3x8

9x5

16. 8n7

2n4

13. y11 14. -14x9

2x3y7

12. 1006

100

~~ Lesson 2-4 : Operations with Exponents ~~

1. y4 y3 2. 7x2 7x15

When multiplying powers with like bases, ______ the exponents and keep the base the same.

In general, xm xn = xm+n

~~ Multiplication Review~~

3. 2z1 z4 3z3

~~Division~~

4. 64

655. 12y6

2y3

When dividing powers with like bases, ____________ theexponents and keep the base the same.

In general, xm

xn= xm-n

6. 36r5s2 ÷ 12r3s