Exponent Rules Quiz Questions Set 2

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| By 007poche
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007poche
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Quizzes Created: 1 | Total Attempts: 846
Questions: 6 | Attempts: 846

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Algebra Quizzes & Trivia

If you can complete this quiz perfectly you will have a good grade at this section of the final math exam.


Questions and Answers
  • 1. 

    What is the value of 2^5×2^3?

    • A.

      2^15

    • B.

      2^8

    • C.

      2^2

    • D.

      2^7

    Correct Answer
    B. 2^8
    Explanation
    When multiplying two powers with the same base, the exponents are added together. So, 2^5×2^3=2^5+3 = 2^8.

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  • 2. 

    X*x3=x1.5*x1.5

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The equation x*x3 = x1.5*x1.5 is not true. When we multiply x by x3, we get x^4. When we multiply x1.5 by x1.5, we get 2.25x^2. These two expressions are not equal, so the statement is false.

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  • 3. 

    (32*36)5=x

    Correct Answer
    3^40
    Explanation
    Use two rules, Fill for x

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  • 4. 

    You can simplify this expression (32*36)5 by using the ? properties.

    Correct Answer
    Power of a power
    Product of powers
    Explanation
    When simplifying the expression (32*36)5, we can use the properties of powers. The expression can be rewritten as (32^5)*(36^5). According to the power of a power property, we can multiply the exponents, resulting in 32^(5*5)*36^(5*5). Using the product of powers property, we can simplify this further to 32^25*36^25. Therefore, the correct answer is Power of a power, Product of powers.

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  • 5. 

    X8+x3=x11

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The given equation is x8+x3=x11. This equation is not mathematically correct as it combines the variables with numbers in a non-standard way. In a typical mathematical equation, the variables and numbers are separated by mathematical operations such as addition, subtraction, multiplication, or division. In this case, the equation is not properly formed, hence the answer is False.

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  • 6. 

    43*34=x

    • A.

      4^7

    • B.

      7^4

    • C.

      12^7

    • D.

      Impossible to simplify

    • E.

      12^12

    • F.

      7^12

    • G.

      7^7

    Correct Answer
    D. Impossible to simplify
    Explanation
    The expression 43*34 cannot be simplified further because it involves the multiplication of two numbers. The answer to this expression is a specific value, which cannot be simplified into a simpler form. Therefore, the correct answer is "impossible to simplify".

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  • Current Version
  • Feb 09, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Jun 06, 2011
    Quiz Created by
    007poche
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