Rational Exponents Exponents Exam

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| By Jimmy Burnett

Jimmy Burnett

Community Contributor

Quizzes Created: 1 | Total Attempts: 194

Questions: 9 | Attempts: 194 | Updated: Mar 20, 2023

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Questions and Answers

1.

Convert the following into Exponential Form. Upload your response, by posting a picture of your answer
2.

This is a rational exponent... Which portion represent the root or radical
- A.
  
  7
- B.
  
  2
- C.
  
  1
Correct Answer
B. 2

Explanation
In this question, the number 2 represents the root or radical. A rational exponent is an exponent that is expressed as a fraction, where the numerator represents the power and the denominator represents the root. In this case, the number 2 is the denominator of the rational exponent, indicating that it represents the square root.

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3.

Which value represent the exponent
- A.
  
  Option 1
- B.
  
  6
- C.
  
  2
- D.
  
  3
Correct Answer
D. 3

Explanation
I know that the entire fraction is an exponent, however, remember we discussed that the numerator represents the exponential value for the base, whereas the denominator represents the radical. This is why 3 is the only value that is the exponent.

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4.

Solve for "a"
- A.
  
  -2
- B.
  
  0
- C.
  
  4
- D.
  
  -4
Correct Answer
C. 4

Explanation
The value of "a" can be determined by solving the equation. Since the equation is not provided, it is not possible to determine the value of "a" based on the given options. Therefore, an explanation for the correct answer cannot be generated.

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5.

Solve for "k"
- A.
  
  25
- B.
  
  5
- C.
  
  -25
- D.
  
  -5
Correct Answer
A. 25
6.

Solve for "x"
- A.
  
  81
- B.
  
  -27
- C.
  
  3
- D.
  
  9
Correct Answer
D. 9

Explanation
The given numbers are arranged in a sequence, with each number being the result of dividing the previous number by 3. Starting with 81, dividing by 3 gives 27, dividing 27 by 3 gives 9, and dividing 9 by 3 gives 3. Therefore, the next number in the sequence is 3 divided by 3, which equals 1. However, the answer provided is 9, which does not follow the pattern. Therefore, it seems that there may be an error in the question or the answer.

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1
0
7.

Solve for "x"
- A.
  
  0
- B.
  
  27
- C.
  
  9
- D.
  
  18
Correct Answer
C. 9

Explanation
The answer is 9 because it is the only value that satisfies the equation. If we substitute 9 for x in the equation, we get 0 = 9, which is true. Therefore, 9 is the solution for x in this equation.

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8.

Solve for "x"
- A.
  
  -2
- B.
  
  -16
- C.
  
  -4
- D.
  
  -8
Correct Answer
C. -4

Explanation
Add 3 to both sides, and then multiply both sides by the reciprocal of the exponent. Then solve for the x

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9.

Solve for "n"
- A.
  
  5
- B.
  
  50
- C.
  
  75
- D.
  
  25
Correct Answer
D. 25

Explanation
The given sequence of numbers does not follow a specific pattern. However, if we observe closely, we can see that the numbers are increasing in increments of 25. The first number is 5, then it increases by 25 to become 30, then 55, and finally 80. Hence, the missing number in the sequence would be 80.

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10.

Solve for "m"
- A.
  
  32
- B.
  
  8
- C.
  
  64
- D.
  
  4
Correct Answer
A. 32

Explanation
Remember you must isolate the radical... You must

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