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These sample problems below for Multiplying and Dividing Exponent Expressions were generated by the MathScore.com engine.

Sample Problems For Multiplying and Dividing Exponent Expressions

Complexity=5, Mode=multiply

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
1.   3 -2 × 3 1   Final Exponent: 3
  Value: 		2.   4 72 × 4 -74   Final Exponent: 4
  Value:

Complexity=5, Mode=divide

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
1.   5 -76 ÷ 5 -76   Final Exponent: 5
  Value: 		2.   1 72 ÷ 1 75   Final Exponent: 1
  Value:

Complexity=5, Mode=3

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
1.   3 89 × 3 88 × 3 -176   Final Exponent: 3
  Value: 		2.   4 -20 × 4 38 ÷ 4 17   Final Exponent: 4
  Value:

Complexity=5, Mode=4

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
1.   3 -78 ÷ 3 -21 × 3 -29 ÷ 3 -89   Final Exponent: 3
  Value: 		2.   4 -5 ÷ 4 60 ÷ 4 86 ÷ 4 -150   Final Exponent: 4
  Value:

Complexity=5, Mode=5

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
1.   4 92 ÷ 4 69 ÷ 4 -45 ÷ 4 -42 ÷ 4 113   Final Exponent: 4
  Value: 		2.   5 1 × 5 54 ÷ 5 4 ÷ 5 -2 × 5 -54   Final Exponent: 5
  Value:

Answers

Complexity=5, Mode=multiply

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
#ProblemCorrect AnswerYour Answer
13 -2 × 3 1   Final Exponent: 3
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
Final exponent = -2 + 1 = -1
3 -2 × 3 1 = 3-1
3-1 = 1/3
#ProblemCorrect AnswerYour Answer
24 72 × 4 -74   Final Exponent: 4
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
Final exponent = 72 + -74 = -2
4 72 × 4 -74 = 4-2
4-2 = 1/16

Complexity=5, Mode=divide

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
#ProblemCorrect AnswerYour Answer
15 -76 ÷ 5 -76   Final Exponent: 5
  Value:
Solution
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = -76 - -76 = 0
5 -76 ÷ 5 -76 = 50
50 = 1
#ProblemCorrect AnswerYour Answer
21 72 ÷ 1 75   Final Exponent: 1
  Value:
Solution
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = 72 - 75 = -3
1 72 ÷ 1 75 = 1-3
1-3 = 1

Complexity=5, Mode=3

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
#ProblemCorrect AnswerYour Answer
13 89 × 3 88 × 3 -176   Final Exponent: 3
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = 89 + 88 + -176 = 1
3 89 × 3 88 × 3 -176 = 31
31 = 3
#ProblemCorrect AnswerYour Answer
24 -20 × 4 38 ÷ 4 17   Final Exponent: 4
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = -20 + 38 - 17 = 1
4 -20 × 4 38 ÷ 4 17 = 41
41 = 4

Complexity=5, Mode=4

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
#ProblemCorrect AnswerYour Answer
13 -78 ÷ 3 -21 × 3 -29 ÷ 3 -89   Final Exponent: 3
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = -78 - -21 + -29 - -89 = 3
3 -78 ÷ 3 -21 × 3 -29 ÷ 3 -89 = 33
33 = 27
#ProblemCorrect AnswerYour Answer
24 -5 ÷ 4 60 ÷ 4 86 ÷ 4 -150   Final Exponent: 4
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = -5 - 60 - 86 - -150 = -1
4 -5 ÷ 4 60 ÷ 4 86 ÷ 4 -150 = 4-1
4-1 = 1/4

Complexity=5, Mode=5

Find the final exponent and the value of the expression after the exponent has been evaluated. If the answer is a fraction, express it as 'numerator'/'denominator', i.e. '5/7'
#ProblemCorrect AnswerYour Answer
14 92 ÷ 4 69 ÷ 4 -45 ÷ 4 -42 ÷ 4 113   Final Exponent: 4
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = 92 - 69 - -45 - -42 - 113 = -3
4 92 ÷ 4 69 ÷ 4 -45 ÷ 4 -42 ÷ 4 113 = 4-3
4-3 = 1/64
#ProblemCorrect AnswerYour Answer
25 1 × 5 54 ÷ 5 4 ÷ 5 -2 × 5 -54   Final Exponent: 5
  Value:
Solution
When you multiply two exponent expressions with the same common base, you can add the exponents.
When you divide two exponent expressions with the same common base, you can subtract the exponents.
Final exponent = 1 + 54 - 4 - -2 + -54 = -1
5 1 × 5 54 ÷ 5 4 ÷ 5 -2 × 5 -54 = 5-1
5-1 = 1/5

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