splash screen. main idea/vocabulary factors exponent base power squared use powers and exponents....
TRANSCRIPT
• 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