6th Grade Math Textbook, Fundamentals

Write as a decimal.

3. 10 ^7 4. 10 ^8

Lesson 4-9 for exercise sets. &KDSWHU 

3UDFWLFH   $FWLYLWLHV

Write as a power of 10.

1.0.000001 2.0.01

Evaluate each expression.

5. 3 ^1 6. 4 ^3 7. 2 ^5 (2^3 ) 8. 3 ^4 (3^2 )


6. 
   
   
   
   10. 
       
       
       
       11. 
           
           
           
           12. 
               
           
           
           
           
       
       
       
       
   
   
   
   

13.Discuss and Write Do^5 and have the same value? Explain.

6

52

5 ^6

5 ^2

11 ^7

11 ^6

5 ^6

5 ^2

3 ^7

3 ^3

2 ^10

2 ^5

5 ^3







So 5^3  1251.

1

125

The exponent 3 means

that 5 is used as a factor

3 times.

1

5 • 5 • 5

Apply the meaning

of negative exponents.

1

53

1 4 ^5







So 4^5  10241.

1

1024

1

4 • 4 • 4 • 4 • 4

1

45

The exponent 5 means

that 4 is used as a factor

5 times.

Apply the meaning

of negative exponents.

2

Evaluate each expression.

To simplify expressions involving multiplication and division,

apply the Laws of Exponents.

2 ^3 (2^2 )

2 ^3 (2) 2 ^5





^1

32

1

2 • 2 • 2 • 2 • 2

1

25

The exponent 5

means that 2 is

used as a factor

5 times.

the meaning

of negative exponents

Apply the Law

of Exponents for Multiplication.

1

Simplify each expression.

3 ^8 (4)  3 ^4





^1

81

1

3 • 3 • 3 • 3

1

34

3 ^8

3 ^4

The exponent 4

means that 3 is

used as a factor

4 times.

the meaning

of negative exponents

Apply the Law

of Exponents for Division.

2