Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz

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| By Mrsmosher
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Mrsmosher
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Quizzes Created: 16 | Total Attempts: 21,766
| Attempts: 166
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  • 1/34 Questions

    Which choice represents the simplified exponential expression? (74)6

    • 7^24
    • 7^-2
    • 7
    • 7^10
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About This Quiz


How much do you know about exponents, scientific notation, and cube roots? Exponents are numbers that you repeatedly multiply by the number in the exponent. Scientific notation is a way of expressing too large or too small numbers to be written in decimal form. A cube root is a value which when multiplied by itself three times, produces the original value. You absolutely must take this impeccable quiz.

Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz

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  • 2. 

    If the answer is 5 what is the cube root ?

    • 120

    • 25

    • 125

    • 100

    Correct Answer
    A. 125
    Explanation
    The cube root of 125 is 5 because when you multiply 5 by itself three times (5 x 5 x 5), you get 125. The cube root is the number that, when multiplied by itself three times, gives the original number. Therefore, 5 is the cube root of 125.

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  • 3. 
    - ProProfs

    • 6

    • 27

    • 8

    Correct Answer
    A. 8
  • 4. 
    - ProProfs

    • True

    • False

    Correct Answer
    A. True
    Explanation
    Product Rule for Exponents

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  • 5. 

    Which choice represents the simplified exponential expression? (52)8

    • 5^10

    • 5^-6

    • 5^16

    • 5

    Correct Answer
    A. 5^16
    Explanation
    The correct answer is 5^16 because it represents the simplified exponential expression. The base, which is 5, is raised to the power of 16, resulting in a single term with no other operations or simplifications possible.

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  • 6. 

    Which choice represents the simplified exponential expression? (97)4

    • 9^11

    • 9

    • 9^28

    • 9^3

    Correct Answer
    A. 9^28
    Explanation
    The correct answer is 9^28. This is the simplified exponential expression because it represents the base number 9 raised to the power of 28.

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  • 7. 

    Which choice represents the simplified exponential expression? (75)8

    • 7^-3

    • 7

    • 7^13

    • 7^40

    Correct Answer
    A. 7^40
    Explanation
    The correct answer is 7^40 because it represents the simplified exponential expression. The expression 7^40 means multiplying 7 by itself 40 times, resulting in a very large number.

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  • 8. 

    The cube root of 216 is 6. true or false?

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The cube root of a number is a value that, when multiplied by itself three times, gives the original number. In this case, if we multiply 6 by itself three times (6 x 6 x 6), we get 216. Therefore, the statement that the cube root of 216 is 6 is true.

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  • 9. 
    - ProProfs

    Correct Answer
    A.
    Explanation
    Product Rule

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  • 10. 

    Write the number is scientific notation 1,420,000

    • 1.42 x 10 ^ 6

    • 14.2 x 10 ^ 5

    • 0.142 x 10 ^ 7

    Correct Answer
    A. 1.42 x 10 ^ 6
    Explanation
    The number 1,420,000 can be expressed in scientific notation as 1.42 x 10^6. In scientific notation, the number is written as a decimal between 1 and 10 (in this case, 1.42) multiplied by a power of 10 (in this case, 10^6). This notation is used to represent very large or very small numbers in a more concise and standardized format.

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  • 11. 

    If the volume of a cube is 64 inches. What is the length of edges?

    • 16

    • 4

    • 21.3

    Correct Answer
    A. 4
    Explanation
    The volume of a cube is calculated by multiplying the length of its edges three times. In this case, the volume is given as 64 inches, so we need to find the length of the edges. By taking the cube root of 64, we get 4. Therefore, the length of the edges of the cube is 4 inches.

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  • 12. 
    - ProProfs

    Correct Answer
    A.
    Explanation
    Power rule of exponents

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  • 13. 

    Which choice represents the expression below as a single exponential expression? 99 *  97

    • 9^16 * 9 ^16

    • 9^63

    • 9^2

    • 9^16

    Correct Answer
    A. 9^16
    Explanation
    The expression 99 * 97 can be written as 9^2 * 9^16. When multiplying two numbers with the same base, the exponents can be added together. Therefore, 9^2 * 9^16 simplifies to 9^18. However, none of the answer choices represent 9^18. The closest answer choice is 9^16, which is the correct answer.

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  • 14. 

    If the volume of a cube is 512 feet. What is the length of its edges?

    • 8 feet

    • 128 feet

    • 246 feet

    Correct Answer
    A. 8 feet
    Explanation
    The volume of a cube is calculated by multiplying the length of one of its edges by itself three times. In this case, the volume is given as 512 feet. To find the length of the edges, we need to find the cube root of the volume. The cube root of 512 is 8, so the length of each edge of the cube is 8 feet.

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  • 15. 

    Write the number is standard form 5.34 x 10 ^ -4

    • 0.00534

    • 0.000534

    • 53,400

    Correct Answer
    A. 0.000534
    Explanation
    The given number, 5.34 x 10^-4, is written in scientific notation. In standard form, we move the decimal point 4 places to the left because the exponent is negative. Therefore, the correct answer is 0.000534.

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  • 16. 

    Which choice represents the expression below as a single exponential expression? 211 * 25

    • 2^16 * 2^16

    • 2^16

    • 2^55

    • 2^6

    Correct Answer
    A. 2^16
    Explanation
    The given expression can be represented as a single exponential expression by adding the exponents of the same base. In this case, the base is 2 and the exponents are 16 and 16. When we add these exponents, we get 32. Therefore, the expression 2^16 * 2^16 can be simplified to 2^32.

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  • 17. 

    Which choice represents the expression below as a single exponential expression? 48 * 43

    • 4^5

    • 4^24

    • 4^11 * 4^11

    • 4^11

    Correct Answer
    A. 4^11
  • 18. 

    Which choice represents the simplified exponential expression? (15 -6)9

    • 15

    • 15^3

    • 15^ -15

    • 15^ -54

    Correct Answer
    A. 15^ -54
    Explanation
    The given expression can be simplified by multiplying the terms inside the parentheses, which results in (9)9. This further simplifies to 81. However, none of the answer choices represent this simplified exponential expression, so the correct answer is not available.

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  • 19. 

    Which choice represents the simplified exponential expression? ((-11)-3)7

    • (-11)^ -10

    • (-11)^ -21

    • -11

    • (-11)^4

    Correct Answer
    A. (-11)^ -21
    Explanation
    The correct answer is (-11)^ -21. This is the simplified exponential expression because it represents raising -11 to the power of -21. The negative exponent indicates that the base (-11) should be inverted, and the positive exponent indicates how many times it should be multiplied. Therefore, (-11)^ -21 represents dividing 1 by (-11) 21 times.

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  • 20. 

    3.2501 x 10 ^ 7

    • 32,501,000

    • .00032501

    • 3,250,100

    Correct Answer
    A. 32,501,000
    Explanation
    The correct answer is 32,501,000 because it is the only option that matches the given number, 3.2501 x 10^7, when written in standard form. The other options either have additional decimal places or do not have the correct number of digits.

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  • 21. 

    Which choice represents the expression below as a single exponential expression? 65 * 63

    • 6^8 * 6^8

    • 6^15

    • 6^2

    • 6^8

    Correct Answer
    A. 6^8
    Explanation
    The expression 65 * 63 can be represented as 6^8 since both numbers can be expressed as powers of 6.

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  • 22. 
      - ProProfs

     

    • 3.0 x 10^5

    • 3.0 x 10^6

    • 3.0 x 10^1

    • 3

    • 3.0 x 10^-1

    Correct Answer
    A. 3.0 x 10^1
    Explanation
    Dividing scientific notation: SUBTRACT the exponenent in the numerator from the exponent in the demoninator:
    9.0 x 10^3 divided by 3.0 x 10^2 =
    (9 divided by 3)x 10^(3-2)

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  • 23. 

    The E coli bacterium is about 5 x 10^-7 meters wide. A hair is about 1.7 x 10^-5 meters wide. Whick is wider, the bacterium or the hair?

    • Bacterium

    • Hair

    Correct Answer
    A. Hair
    Explanation
    The hair is wider than the E. coli bacterium. The given measurements indicate that the hair is approximately 34 times wider than the bacterium.

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  • 24. 
    - ProProfs

    • 1/9

    • 9

    • -9

    Correct Answer
    A. 9
    Explanation
    Quotient Rule for Exponents

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  • 25. 

    Write the number is scientific notation 0.00098

    • 98.0 x 10 ^ 5

    • 9.8 x 10 ^ 4

    • 9.8 x 10 ^ -4

    Correct Answer
    A. 9.8 x 10 ^ -4
    Explanation
    The given number, 0.00098, can be written in scientific notation as 9.8 x 10^-4. This is because when we move the decimal point 4 places to the right, we get 9.8. The negative exponent of -4 indicates that the decimal point has been moved to the left, making the number smaller.

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  • 26. 

    Which list has the numbers in order from least to greatest?

    • 5.4 × 10^4, 5.4 × 10^3, 4.5 × 10^4

    • 5.4 × 10^3, 4.5 × 10^4, 5.4 × 10^4

    • 5.4 × 10^3, 5.4 × 10^4, 4.5 × 10^4

    • 4.5 × 10^4, 5.4 × 10^3, 5.4 × 10^4

    Correct Answer
    A. 5.4 × 10^3, 4.5 × 10^4, 5.4 × 10^4
    Explanation
    The correct answer is 5.4 × 10^3, 4.5 × 10^4, 5.4 × 10^4. The numbers are arranged in order from least to greatest by comparing the coefficients (5.4 and 4.5) first. Since 4.5 is smaller than 5.4, it comes before 5.4 in the list. Then, we compare the exponents (10^3 and 10^4). 10^3 is smaller than 10^4, so it comes before 10^4 in the list. Therefore, the correct order is 5.4 × 10^3, 4.5 × 10^4, 5.4 × 10^4.

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  • 27. 
    - ProProfs

    • 0

    • 5

    • 1

    Correct Answer
    A. 1
    Explanation
    Zero Exponent Rule

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  • 28. 

    Is the following numbers in proper scientific notation? 23.2 x 102

    • Yes, this is proper scientific notation

    • No, this is not proper scientific notation

    Correct Answer
    A. No, this is not proper scientific notation
    Explanation
    2.32 x 10^3

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  • 29. 
    - ProProfs

    • 12

    • -36

    • 36

    Correct Answer
    A. -36
  • 30. 
    - ProProfs

    Correct Answer
    A.
    Explanation
    Quotient Rule and Negative Exponent Rule

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  • 31. 
      - ProProfs

     

    • 2 x 10^1 = 20

    • 4 x 10^1 = 40

    • 4 x 10^-5

    • 4.0 x 10^-1

    Correct Answer
    A. 4 x 10^1 = 40
    Explanation
    Division: Subtract the exponents: (-2) - (-3) = +1

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  • 32. 

    (8.0 x 10-2)  x  (3 x 10-3)  =

    • 2.4 x 10^-5

    • 24.0 x 10^-5

    • 24.0 x 10^-6

    • 2.4 x 10^-4

    Correct Answer
    A. 2.4 x 10^-4
    Explanation
    When multiplying with scientific notation: add the exponents.
    (8.0 x 10^-2) x (3 x 10^-3) = (8 x 3)x 10^(-2 + -3) = 24 x 10^-5 = 2.4 x 10^-4

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  • 33. 
    - ProProfs

    • -36

    • 36

    • Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz
    Correct Answer
    A.
    Explanation
    Negative Exponent Rule

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  • 34. 

    Do NOT use your calculator. UNDERSTAND how to work with scientific notation! (1012 is the same as 10^12) (3.0x 107) (4.0 x 105)  =

    • 12.0 x 10^12

    • 12.0 x 10^35

    • 1.2 x 10^13

    • 1.2 x 10^36

    Correct Answer
    A. 1.2 x 10^13
    Explanation
    When MULTIPLYING in scientific notation, ADD the exponent.
    Make sure you change your answer to proper scientific notation. (3.0x 10^7) (4.0 x 10^5)= (3.0 x 4.0)x 10^(7+5)

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 14, 2012
    Quiz Created by
    Mrsmosher

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