Trivia: Exponents, Scientific Notation, Cube Roots! Math 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.
Questions and Answers
- 1.
- A.
25
- B.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
- C.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
Correct Answer
C.Explanation
Quotient Rule and Negative Exponent RuleRate this question:
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- 2.
- A.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
- B.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
- C.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
Correct Answer
B.Explanation
Power rule of exponentsRate this question:
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- 3.
- A.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
- B.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
- C.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
Correct Answer
A.Explanation
Product RuleRate this question:
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- 4.
Write the number is scientific notation 0.00098
- A.
98.0 x 10 ^ 5
- B.
9.8 x 10 ^ 4
- C.
9.8 x 10 ^ -4
Correct Answer
C. 9.8 x 10 ^ -4Explanation
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.Rate this question:
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- 5.
Write the number is scientific notation 1,420,000
- A.
1.42 x 10 ^ 6
- B.
14.2 x 10 ^ 5
- C.
0.142 x 10 ^ 7
Correct Answer
A. 1.42 x 10 ^ 6Explanation
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.Rate this question:
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- 6.
Write the number is standard form 5.34 x 10 ^ -4
- A.
0.00534
- B.
0.000534
- C.
53,400
Correct Answer
B. 0.000534Explanation
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.Rate this question:
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- 7.
3.2501 x 10 ^ 7
- A.
32,501,000
- B.
.00032501
- C.
3,250,100
Correct Answer
A. 32,501,000Explanation
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.Rate this question:
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- 8.
- A.
-36
- B.
36
- C.
![Trivia: Exponents, Scientific Notation, Cube Roots! Math Quiz - Quiz]()
Correct Answer
C.Explanation
Negative Exponent RuleRate this question:
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- 9.
- A.
0
- B.
5
- C.
1
Correct Answer
C. 1Explanation
Zero Exponent RuleRate this question:
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- 10.
- A.
1/9
- B.
9
- C.
-9
Correct Answer
B. 9Explanation
Quotient Rule for ExponentsRate this question:
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- 11.
- A.
12
- B.
-36
- C.
36
Correct Answer
B. -36 -
- 12.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
Product Rule for ExponentsRate this question:
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- 13.
- A.
6
- B.
27
- C.
8
Correct Answer
C. 8 -
- 14.
Which choice represents the expression below as a single exponential expression? 99 * 97
- A.
9^16 * 9 ^16
- B.
9^63
- C.
9^2
- D.
9^16
Correct Answer
D. 9^16Explanation
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.Rate this question:
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- 15.
Which choice represents the expression below as a single exponential expression? 211 * 25
- A.
2^16 * 2^16
- B.
2^16
- C.
2^55
- D.
2^6
Correct Answer
B. 2^16Explanation
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.Rate this question:
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- 16.
Which choice represents the expression below as a single exponential expression? 65 * 63
- A.
6^8 * 6^8
- B.
6^15
- C.
6^2
- D.
6^8
Correct Answer
D. 6^8Explanation
The expression 65 * 63 can be represented as 6^8 since both numbers can be expressed as powers of 6.Rate this question:
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- 17.
Which choice represents the expression below as a single exponential expression? 48 * 43
- A.
4^5
- B.
4^24
- C.
4^11 * 4^11
- D.
4^11
Correct Answer
D. 4^11 -
- 18.
Which choice represents the simplified exponential expression? (52)8
- A.
5^10
- B.
5^-6
- C.
5^16
- D.
5
Correct Answer
C. 5^16Explanation
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.Rate this question:
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- 19.
Which choice represents the simplified exponential expression? (97)4
- A.
9^11
- B.
9
- C.
9^28
- D.
9^3
Correct Answer
C. 9^28Explanation
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.Rate this question:
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- 20.
Which choice represents the simplified exponential expression? (75)8
- A.
7^-3
- B.
7
- C.
7^13
- D.
7^40
Correct Answer
D. 7^40Explanation
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.Rate this question:
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- 21.
Which choice represents the simplified exponential expression? (74)6
- A.
7^24
- B.
7^-2
- C.
7
- D.
7^10
Correct Answer
A. 7^24Explanation
The given expression is 7^24, which represents the simplified exponential expression. This is because 7^24 means multiplying 7 by itself 24 times, resulting in a very large number. Therefore, the correct answer is 7^24.Rate this question:
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- 22.
Which choice represents the simplified exponential expression? (15 -6)9
- A.
15
- B.
15^3
- C.
15^ -15
- D.
15^ -54
Correct Answer
D. 15^ -54Explanation
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.Rate this question:
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- 23.
Which choice represents the simplified exponential expression? ((-11)-3)7
- A.
(-11)^ -10
- B.
(-11)^ -21
- C.
-11
- D.
(-11)^4
Correct Answer
B. (-11)^ -21Explanation
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.Rate this question:
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- 24.
If the answer is 5 what is the cube root ?
- A.
120
- B.
25
- C.
125
- D.
100
Correct Answer
C. 125Explanation
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.Rate this question:
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- 25.
The cube root of 216 is 6. true or false?
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
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.Rate this question:
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- 26.
If the volume of a cube is 64 inches. What is the length of edges?
- A.
16
- B.
4
- C.
21.3
Correct Answer
B. 4Explanation
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.Rate this question:
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- 27.
If the volume of a cube is 512 feet. What is the length of its edges?
- A.
8 feet
- B.
128 feet
- C.
246 feet
Correct Answer
A. 8 feetExplanation
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.Rate this question:
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- 28.
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?
- A.
Bacterium
- B.
Hair
Correct Answer
B. HairExplanation
The hair is wider than the E. coli bacterium. The given measurements indicate that the hair is approximately 34 times wider than the bacterium.Rate this question:
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- 29.
- A.
2 x 10^1 = 20
- B.
4 x 10^1 = 40
- C.
4 x 10^-5
- D.
4.0 x 10^-1
Correct Answer
B. 4 x 10^1 = 40Explanation
Division: Subtract the exponents: (-2) - (-3) = +1Rate this question:
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- 30.
Is the following numbers in proper scientific notation? 23.2 x 102
- A.
Yes, this is proper scientific notation
- B.
No, this is not proper scientific notation
Correct Answer
B. No, this is not proper scientific notationExplanation
2.32 x 10^3Rate this question:
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- 31.
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) =
- A.
12.0 x 10^12
- B.
12.0 x 10^35
- C.
1.2 x 10^13
- D.
1.2 x 10^36
Correct Answer
C. 1.2 x 10^13Explanation
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)Rate this question:
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- 32.
- A.
3.0 x 10^5
- B.
3.0 x 10^6
- C.
3.0 x 10^1
- D.
3
- E.
3.0 x 10^-1
Correct Answer
C. 3.0 x 10^1Explanation
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)Rate this question:
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- 33.
(8.0 x 10-2) x (3 x 10-3) =
- A.
2.4 x 10^-5
- B.
24.0 x 10^-5
- C.
24.0 x 10^-6
- D.
2.4 x 10^-4
Correct Answer
D. 2.4 x 10^-4Explanation
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^-4Rate this question:
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- 34.
Which list has the numbers in order from least to greatest?
- A.
5.4 × 10^4, 5.4 × 10^3, 4.5 × 10^4
- B.
5.4 × 10^3, 4.5 × 10^4, 5.4 × 10^4
- C.
5.4 × 10^3, 5.4 × 10^4, 4.5 × 10^4
- D.
4.5 × 10^4, 5.4 × 10^3, 5.4 × 10^4
Correct Answer
B. 5.4 × 10^3, 4.5 × 10^4, 5.4 × 10^4Explanation
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.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
ProProfs Editorial Team -
Nov 14, 2012Quiz Created by
Mrsmosher
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