Math Questions: Laws Of Exponents And Algebraic Fractions

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Math Questions: Laws Of Exponents And Algebraic Fractions - Quiz

Laws of Exponents and Algebraic Fractions


Questions and Answers
  • 1. 

    Correct Answer
    A.
  • 2. 

    Correct Answer
    B.
  • 3. 

    What is the answer to [(x 4 y 5)] 0

    Correct Answer
    one
    1
    Explanation
    The given answer "one, 1" suggests that the expression [(x 4 y 5)] 0 evaluates to both the word "one" and the number 1. However, without any context or further information about the expression or the variables x and y, it is not possible to determine the exact meaning or value of the expression. Therefore, the explanation for this answer is not available.

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  • 4. 

    All bases have an exponent

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    When a base has no exponent written it is assumed to be 1, thus all bases have an exponent even if none is written.

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  • 5. 

    The result of simplifying the expression  (x 3 y 4 ) 3   is

    • A.
    • B.
    • C.

      Y

    Correct Answer
    A.
    Explanation
    Multiply the power of x by 3 from the outside of the expression to get x^9. Multiply the power of y by 3 from the outside to get y^12

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  • 6. 

    4 x 3  will result in an exponent of

    Correct Answer
    7
    seven
    Explanation
    The expression "x 4 x 3" can be simplified as "x^4 * x^3". When multiplying two powers with the same base, you add the exponents. In this case, the base is "x" and the exponents are 4 and 3. So, the sum of the exponents is 7, resulting in an exponent of 7 for the expression.

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  • 7. 

    A3 x a2

    • A.
    • B.

      A

    • C.
    Correct Answer
    C.
  • 8. 

    Ac4 x a3c2

    Correct Answer
    A.
    Explanation
    The given expression "ac4 x a3c2" represents the multiplication of the terms "ac4" and "a3c2". In this expression, "ac4" means "a" multiplied by "c" multiplied by 4, and "a3c2" means "a" multiplied by 3 multiplied by "c" squared. To multiply these terms, we can multiply the coefficients (4 and 3) together to get 12, and multiply the variables (a and c) together to get "a" multiplied by "c". Therefore, the result of the expression is 12ac.

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  • 9. 

    4a3 x 3a5

    Correct Answer
    C.
    Explanation
    The given expression can be simplified by multiplying the coefficients and adding the exponents of the variables. Therefore, 4a3 x 3a5 is equal to 12a8.

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  • 10. 

    Correct Answer
    A.
  • 11. 

    • A.

      3a

    • B.
    • C.
    Correct Answer
    C.
  • 12. 

    Correct Answer
    B.
  • 13. 

    (a4)6

    Correct Answer
    A.
    Explanation
    The given expression (a4)6 can be simplified by multiplying the two numbers within the parentheses first. Since there is no variable or operation between the parentheses and the number 4, we can assume that it is a multiplication operation. Therefore, (a4)6 is equivalent to 4 * 6, which is 24.

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  • 14. 

    (2a3c5)3

    Correct Answer
    C.
  • 15. 

    Correct Answer
    A.
  • 16. 

    • A.
    • B.

      A

    • C.

      C

    Correct Answer
    A.
  • 17. 

    (3a4)2 =

    Correct Answer
    A.
    Explanation
    The given expression, (3a4)2, can be simplified by first evaluating the exponent, which is 2. This means that the expression inside the parentheses, 3a4, needs to be squared. To square this expression, we multiply it by itself. So, (3a4)2 = (3a4) x (3a4) = 9a8.

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