Laws Of Exponents Review Quiz

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| By Nathan Kunkel

Nathan Kunkel

Community Contributor

Quizzes Created: 2 | Total Attempts: 643

Questions: 10 | Attempts: 562 | Updated: Oct 10, 2024

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A ten question true/false quiz reviewing the laws of exponents.

Questions and Answers

1.

X⁰= 1
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The given statement "x0 = 1" is true. This means that the value of variable x0 is equal to 1.

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2
0
2.

(xy)⁵= xy⁵
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The given statement (xy)5 = xy5 is false. In mathematics, the exponent indicates the number of times a value is multiplied by itself. In this case, (xy)5 means that the entire expression xy is being multiplied by itself five times. On the other hand, xy5 means that only the variable y is being multiplied by itself five times, while x remains unchanged. Since these two expressions are not equivalent, the statement is false.

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3.

X² * x³= x⁶
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The given equation x2 * x3 = x6 is not true. In mathematics, when multiplying two numbers, the exponents of the same base are added. Therefore, x2 * x3 would result in x5, not x6. Hence, the correct answer is False.

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4.

(x²)³ = x⁶
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The given equation states that (x^2) raised to the power of 3 is equal to x^6. This is true because when we raise a power to another power, we multiply the exponents. In this case, (x^2)^3 can be written as x^2 * x^2 * x^2, which simplifies to x^6. Therefore, the answer is true.

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5.

(-2x^-1)^-3 = -8x³
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The given equation is (-2x-1)-3 = -8x3. To solve this equation, we need to simplify both sides. On the left side, we can combine like terms by adding -1 and -3, which gives us -4. Therefore, the equation becomes -4 = -8x3. However, this equation is not true since -4 does not equal -24. Hence, the correct answer is False.

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6.

2y^-4(x²y⁴ - 3y⁶) = 2x² - 6y²
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The given equation states that 2y-4(x^2y^4 - 3y^6) is equal to 2x^2 - 6y^2. By simplifying the equation, we can see that both sides are equal. Therefore, the statement is true.

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7.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The given answer is "False" because it is the opposite of "True". Without any context or specific question, it is difficult to provide a detailed explanation. However, based on the information given, we can infer that the answer is false.

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8.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The explanation for the given correct answer "True" is not available.

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2
0
9.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The answer is "True" because it is the only option provided. Without any additional information or context, it is not possible to determine the correctness of the answer.

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10.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The explanation for the given correct answer "True" is not available as there is no context or question provided.

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