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Questions and Answers
What is 10x10x10x10x10 in exponential notation?
What is 10x10x10x10x10 in exponential notation?
- 10 6th power
- 10 3rd power
- 10 4th power
- 10 5th power (correct)
What is 7x7x7 in exponential notation?
What is 7x7x7 in exponential notation?
- 7 3rd power (correct)
- 7 5th power
- 7 4th power
- 7 2nd power
What is 13x13x13x13x13x13 in exponential notation?
What is 13x13x13x13x13x13 in exponential notation?
- 13 6th power (correct)
- 13 3rd power
- 13 4th power
- 13 5th power
What is 6x6x6x6 in exponential notation?
What is 6x6x6x6 in exponential notation?
What is 10 5th power in expanded form?
What is 10 5th power in expanded form?
What is 35 squared in expanded form?
What is 35 squared in expanded form?
What is 4 3rd power in expanded form?
What is 4 3rd power in expanded form?
What is 7 6th power in expanded form?
What is 7 6th power in expanded form?
What is 55 4th power in expanded form?
What is 55 4th power in expanded form?
What is 8 cubed in expanded form?
What is 8 cubed in expanded form?
What is 5 4th power in standard form?
What is 5 4th power in standard form?
What is 10 3rd power in standard form?
What is 10 3rd power in standard form?
What is 4x4x4 in standard form?
What is 4x4x4 in standard form?
What is 12 squared in standard form?
What is 12 squared in standard form?
Why is the standard form of 8 2nd power NOT equal to 16?
Why is the standard form of 8 2nd power NOT equal to 16?
Find the number that equals 81 when it is squared.
Find the number that equals 81 when it is squared.
Darnell earned $10 each week for 10 weeks walking a neighbor's dog. How much did he earn?
Darnell earned $10 each week for 10 weeks walking a neighbor's dog. How much did he earn?
Write the amount Darnell earned using exponential notation for $10 each week for 10 weeks.
Write the amount Darnell earned using exponential notation for $10 each week for 10 weeks.
Which of the following, when written in standard form, is equal to the standard form of 2 2nd power?
Which of the following, when written in standard form, is equal to the standard form of 2 2nd power?
Flashcards
Exponential Notation
Exponential Notation
A mathematical expression where a base number is multiplied by itself a specific number of times, indicated by the exponent.
Base
Base
The number that is being multiplied by itself in an exponential expression. It's the base of the power.
Exponent
Exponent
The small number written above and to the right of the base. It indicates how many times the base is multiplied by itself.
Standard Form
Standard Form
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Expanded Form
Expanded Form
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10 5th Power
10 5th Power
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7 3rd Power
7 3rd Power
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13 6th Power
13 6th Power
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6 4th Power
6 4th Power
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10 5th Power in Expanded Form
10 5th Power in Expanded Form
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35 Squared
35 Squared
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4 3rd Power
4 3rd Power
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7 6th Power
7 6th Power
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55 4th Power
55 4th Power
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8 Cubed
8 Cubed
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5 4th Power
5 4th Power
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10 3rd Power
10 3rd Power
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4x4x4
4x4x4
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12 Squared
12 Squared
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Study Notes
Exponential Notation
- Exponential notation represents repeated multiplication of a number.
- Example: 10x10x10x10x10 is written as 10 to the 5th power.
- Other examples include:
- 7x7x7 as 7 to the 3rd power
- 13x13x13x13x13x13 as 13 to the 6th power
- 6x6x6x6 as 6 to the 4th power
Expanded Form
- Expanded form expresses a number's exponentiation as repeated multiplication.
- Key examples:
- 10 to the 5th power is expressed as 10x10x10x10x10.
- 35 squared (35^2) is represented as 35x35.
- 4 to the 3rd power is shown as 4x4x4.
Standard Form
- Standard form is the simplified numerical value of an exponentiation.
- Important conversions:
- 5 to the 4th power equals 625.
- 10 to the 3rd power equals 1,000.
- 4x4x4 equals 64.
- 12 squared is equal to 144.
Common Errors
- 8 to the 2nd power may seem to equal 16, but it actually equals 64 since it is calculated as 8x8.
Square Roots
- To find a number that equals 81 when squared, the answer is 9 (since 9x9=81).
Profit Calculation
- Darnell's earnings formula involves weekly pay for hours worked:
- Earning $10 each week for 10 weeks results in a total of $100.
- This can also be expressed using exponential notation as 10 to the 2nd power (10^2).
Standard Form Comparison
- The question of equivalence is also addressed for expressions like 2 to the 2nd power, which equals 4 when converted to standard form.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of exponential notation with this quiz. You will convert products into exponential form and vice versa. Perfect for reinforcing concepts related to powers and exponents!
