Which of the following is NOT an explanation of the rule for simplifying expressions containing a negative exponent?

Use the denominator of the exponent as a root of the base. Use the numerator as a power.

Use the reciprocal of the base and change the exponent to a positive number.

Use 1 divided by that base raised to the opposite (positive) exponent.

Make the exponent positive and move the factor to the other side of the fraction bar.

What does it mean to simplify an algebraic expression containing negative and/or zero exponents?

It means to rewrite the expression with only positive exponents

It means to substitute values for the variables and find the value of the expression.

It means to combine all of the exponents of like variables.

It means to use the quadratic formula to solve for the value of the variable.

Integer And Rational Exponents Quiz

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| By Albert Melchor

Albert Melchor

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Quizzes Created: 17 | Total Attempts: 12,345

Questions: 24 | Attempts: 1,136 | Updated: Mar 20, 2023

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Integer And Rational Exponents Quiz - Quiz

Algebra 1 is a foundation book helping you get core skills. As you have now covered integers and rational exponents thoroughly in the past week you can now be ready to take the test next week. Take up the quiz below to gauge how ready you are. All the best!

Questions and Answers

1.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
2.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
3.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
4.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
5.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
6.

Which of the following is NOT an explanation of the rule for simplifying expressions containing a negative exponent?
- A.
  
  Use the reciprocal of the base and change the exponent to a positive number.
- B.
  
  Use the denominator of the exponent as a root of the base. Use the numerator as a power.
- C.
  
  Use 1 divided by that base raised to the opposite (positive) exponent.
- D.
  
  Make the exponent positive and move the factor to the other side of the fraction bar.
Correct Answer
B. Use the denominator of the exponent as a root of the base. Use the numerator as a power.

Explanation
The rule for simplifying expressions containing a negative exponent states that we can use the reciprocal of the base and change the exponent to a positive number. We can also use 1 divided by that base raised to the opposite (positive) exponent. Another way to simplify is to make the exponent positive and move the factor to the other side of the fraction bar. However, using the denominator of the exponent as a root of the base and using the numerator as a power is not a valid explanation of the rule.

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7.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
8.

Evaluate the given expression for the given value(s) of the variable(s). for .
- A.
- B.
- C.
- D.
Correct Answer
A.
9.

Evaluate the given expression for the given value(s) of the variable(s). for .
- A.
- B.
- C.
- D.
Correct Answer
A.
10.

Evaluate the given expression for the given value(s) of the variable(s). for and .
- A.
- B.
- C.
- D.
Correct Answer
A.
11.

What does it mean to simplify an algebraic expression containing negative and/or zero exponents?
- A.
  
  It means to rewrite the expression with only positive exponents
- B.
  
  It means to substitute values for the variables and find the value of the expression.
- C.
  
  It means to combine all of the exponents of like variables.
- D.
  
  It means to use the quadratic formula to solve for the value of the variable.
Correct Answer
A. It means to rewrite the expression with only positive exponents

Explanation
To simplify an algebraic expression containing negative and/or zero exponents means to rewrite the expression with only positive exponents. This is done by applying the rules of exponents, such as moving negative exponents to the denominator and converting zero exponents to a value of 1. By simplifying the expression in this way, it becomes easier to work with and evaluate.

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12.

Simplify.
- A.
- B.
- C.
- D.
  
  Answer is not here
Correct Answer
A.
13.

Simplify.
- A.
- B.
- C.
- D.
  
  Answer is not here
Correct Answer
A.
14.

Simplify.
- A.
- B.
- C.
- D.
  
  Answer is not here
Correct Answer
D. Answer is not here
15.

Simplify.
- A.
- B.
- C.
- D.
  
  Answer is not here
Correct Answer
A.
16.

Simplify.
- A.
- B.
- C.
- D.
  
  Answer is not here
Correct Answer
A.
17.

Simplify.
- A.
- B.
- C.
- D.
  
  Answer is not here
Correct Answer
A.
18.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
  
  None of these are equivalent
Correct Answer
A.
19.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
  
  None of these are equivalent
Correct Answer
A.
20.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
  
  None of these are equivalent
Correct Answer
A.
21.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
  
  None of these are equivalent
Correct Answer
A.
22.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
23.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
Correct Answer
A.
24.

Which of the following is equivalent to the given expression?
- A.
- B.
- C.
- D.
  
  All of these are equivalent
Correct Answer
D. All of these are equivalent

Explanation
The given answer states that all of the options provided are equivalent to the given expression. This means that no matter which option is chosen, it will result in the same outcome as the given expression. Therefore, all of the options are considered to be equivalent.

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