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Questions and Answers
Which of the following is a property of the law of exponents?
Which of the following is a property of the law of exponents?
- The power of a product is equal to the sum of the exponents.
- The power of a power is equal to the product of the exponents.
- The product of two powers with the same base is equal to the sum of the exponents.
- The quotient of two powers with the same base is equal to the difference of the exponents. (correct)
What is the result of multiplying 5^3 by 5^4?
What is the result of multiplying 5^3 by 5^4?
- 5^12 (correct)
- 5^43
- 5^34
- 5^7
What is the result of dividing (2^5)^3 by 2^2?
What is the result of dividing (2^5)^3 by 2^2?
- 2^13
- 2^25
- 2^15
- 2^23 (correct)
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Study Notes
Properties of Exponents
- The law of exponents has a property that deals with the multiplication of exponential expressions with the same base.
Multiplying Exponential Expressions
- When multiplying exponential expressions with the same base, add the exponents: 5^3 × 5^4 = 5^(3+4) = 5^7.
Dividing Exponential Expressions
- When dividing exponential expressions with the same base, subtract the exponents: (2^5)^3 ÷ 2^2 = 2^(5×3) ÷ 2^2 = 2^(15-2) = 2^13.
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