Law of Exponents Quiz
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Questions and Answers

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?

  • 5^12 (correct)
  • 5^43
  • 5^34
  • 5^7

    • What is the result of dividing (2^5)^3 by 2^2?

  • 2^13
  • 2^25
  • 2^15
  • 2^23 (correct)

    • 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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    Description

    Test your knowledge of the law of exponents with this quiz! Explore properties of exponents and solve multiplication and division problems using exponent notation.

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