Splash Screen. Main Idea/Vocabulary factors exponent base power squared Use powers and exponents. cubed evaluate standard form exponential form.

• factors

• exponent

• base

• power

• squared

• Use powers and exponents.

• cubed

• evaluate

• standard form

• exponential form

• Exponents are simply repeated multiplication. We call the numbers repeated factors.

• Example: 25 = 2•2•2•2•2 = 32

• This is read “2 to the fifth power”

• But what are the parts?

•25 = 32 exponent

base power

Write Powers as Products

Write 84 as a product of the same factor.

Eight is used as a factor four times.

Answer: 84 = 8 ● 8 ● 8 ● 8

Write Powers as Products

Write 46 as a product of the same factor.

Four is used as a factor 6 times.

Answer: 46 = 4 ● 4 ● 4 ● 4 ● 4 ● 4

Write Powers in Standard Form

Evaluate the expression 83.

83 = 8 ● 8 ● 8 8 is used as a factor 3 times.

= 512 Multiply.

Answer: 512

Evaluate the expression 64.

64 = 6 ● 6 ● 6 ● 6 6 is used as a factor 4 times.

= 1,296 Multiply.

Answer: 1,296

Write Powers in Standard Form

Write 9 ● 9 ● 9 ● 9 ● 9 ● 9 in exponential form.

9 is the base. It is used as a factor 6 times. So, the exponent is 6.

Answer: 9 ● 9 ● 9 ● 9 ● 9 ● 9 = 96

Write Powers in Exponential Form

What do we mean squared? Cubed?

• 52 would be read “five squared” because the exponent is a 2.

• Therefore, the exponent of “2” makes it squared

• 73 would be read “seven cubed” because the exponent is a 3.

• Therefore, the exponent of “3” makes it cubed.

• DIRECTIONS: change the multiplication problem into a power and solve (exponential form).

• 6 × 6 × 6 = • 12 × 12 × 12 = • 9 × 9 × 9 × 9= • a × a × a = 

• DIRECTIONS: change each power into a multiplication problem and solve.

 • 10² = • 20³=

• 12² = • 4³ =

• 70?

• Anytime a base has a zero for the exponent, the answer is 1.

• So 70 = 1

1. A

2. B

3. C

4. D

A. 3 ● 6

B. 6 ● 3

C. 6 ● 6 ● 6

D. 3 ● 3 ● 3 ● 3 ● 3 ● 3

Write 36 as a product of the same factor.

1. A

2. B

3. C

4. D

A. 7 ● 3

B. 3 ● 7

C. 7 ● 7 ● 7

D. 3 ● 3 ● 3 ● 3 ● 3 ● 3 ● 3

Write 73 as a product of the same factor.

1. A

2. B

3. C

4. D

A. 8

B. 16

C. 44

D. 256

Evaluate the expression 44.

1. A

2. B

3. C

4. D

A. 10

B. 25

C. 3,125

D. 5,500

Evaluate the expression 55.

1. A

2. B

3. C

4. D

A. 35

B. 53

C. 3 ● 5

D. 243

Write 3 ● 3 ● 3 ● 3 ● 3 in exponential form.

End of the Lesson