Questions and Answers
What does the symbol ¹ represent?
What does the symbol ² represent?
What does the symbol ³ represent?
What does the symbol ⁴ represent?
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What does the symbol ⁵ represent?
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What does the symbol ⁶ represent?
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What does the symbol ⁷ represent?
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What does the symbol ⁸ represent?
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What does the symbol ⁹ represent?
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What does the symbol ¹⁰ represent?
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What does the symbol ¹² represent?
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Study Notes
Exponents Overview
- Indicates powers or indices, showing how many times a number (base) is multiplied by itself.
Exponent Cards
- ¹: Represents the first power; any number raised to the power of one equals the number itself.
- ²: Represents the second power; the result is the number multiplied by itself (e.g., (3^2 = 9)).
- ³: Represents the third power; indicates the number is multiplied by itself twice (e.g., (2^3 = 8)).
- ⁴: Represents the fourth power; implies multiplying the number by itself three times (e.g., (5^4 = 625)).
- ⁵: Represents the fifth power; signifies multiplying the base by itself four more times (e.g., (1^5 = 1)).
- ⁶: Represents the sixth power; shows a number multiplied by itself five times (e.g., (3^6 = 729)).
- ⁷: Represents the seventh power; further multiplication of the base (e.g., (4^7 = 16,384)).
- ⁸: Represents the eighth power; indicates the base is multiplied by itself seven times (e.g., (2^8 = 256)).
- ⁹: Represents the ninth power; base multiplied eight times (e.g., (1^9 = 1)).
- ¹⁰: Represents the tenth power; showcases a number multiplied by itself nine times (e.g., (10^{10} = 10,000,000,000)).
Additional Exponent Cards
- ² (duplicate): Repeated for emphasis on the second power relation.
- ¹²: Represents the twelfth power; indicates multiplying the base eleven times (e.g., (3^{12} = 531441)).
- ¹² (duplicate): Reinforced understanding of the twelfth power for clarity.
Key Takeaways
- Powers simplify repeated multiplication, crucial in algebra and various mathematical applications.
- Understanding and memorizing basic exponents aids in evaluating expressions and solving equations.
Studying That Suits You
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Description
Test your knowledge of exponents with these flashcards. Each card presents a different exponent, from the first to the tenth power. Mastering these will help in understanding mathematical concepts related to powers and roots.
