Math Practice Online > free > lessons > Florida > 9th grade > Multiplying and Dividing Exponent Expressions

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:

### 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'
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
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'
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
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'
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
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'
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
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'
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