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Questions and Answers
What is the result of 5 raised to the power of 0?
What is the result of 5 raised to the power of 0?
- 25
- 5
- 1 (correct)
- 0
In the expression 2^3, what does the '3' represent?
In the expression 2^3, what does the '3' represent?
- Root
- Exponent (correct)
- Product
- Base
What happens to a number when it is raised to a negative exponent?
What happens to a number when it is raised to a negative exponent?
- The number becomes negative
- The number becomes zero
- The number becomes its square
- The number becomes its reciprocal (correct)
What is the result of 3^4?
What is the result of 3^4?
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If a number is raised to the power of 1, what is the result?
If a number is raised to the power of 1, what is the result?
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What is the value of 10^(-2)?
What is the value of 10^(-2)?
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Study Notes
Exponents and Powers
- Any number raised to the power of 0 is 1, e.g. 5^0 = 1
- In the expression 2^3, the '3' represents the exponent or power, indicating that 2 is multiplied by itself 3 times
- When a number is raised to a negative exponent, it becomes a reciprocal of the positive exponent, e.g. 2^(-3) = 1/2^3
- The result of 3^4 is 3 multiplied by itself 4 times, i.e. 3 × 3 × 3 × 3 = 81
- If a number is raised to the power of 1, the result is the number itself, e.g. 5^1 = 5
- The value of 10^(-2) is a reciprocal of 10^2, i.e. 1/100 = 0.01
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