Questions and Answers
What is 10x10x10x10x10 in exponential notation?
What is 7x7x7 in exponential notation?
What is 13x13x13x13x13x13 in exponential notation?
What is 6x6x6x6 in exponential notation?
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What is 10 5th power in expanded form?
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What is 35 squared in expanded form?
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What is 4 3rd power in expanded form?
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What is 7 6th power in expanded form?
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What is 55 4th power in expanded form?
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What is 8 cubed in expanded form?
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What is 5 4th power in standard form?
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What is 10 3rd power in standard form?
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What is 4x4x4 in standard form?
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What is 12 squared in standard form?
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Why is the standard form of 8 2nd power NOT equal to 16?
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Find the number that equals 81 when it is squared.
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Darnell earned $10 each week for 10 weeks walking a neighbor's dog. How much did he earn?
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Write the amount Darnell earned using exponential notation for $10 each week for 10 weeks.
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Which of the following, when written in standard form, is equal to the standard form of 2 2nd power?
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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
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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!
