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# Exponents - Review of Simple Multiplying and Dividing

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This quiz will continue our review of exponents and how they work. Besides being able to add and subtract numbers with exponents, we can also multiply and divide. The rules regarding addition and subtraction of numbers with exponents continue to apply here so let’s look at the following practice example and see how the problem is worked to find the solution.

32 x 24 =
3 x 3 = 9
2 x 2 = 4 x 2 = 8 x 2 = 16
9 x 16 = 144
Solution: 32 x 24 = 144

For each of the following exponent multiplication or division problems listed below, find the correct solution. (Note: Round numbers to the nearest one hundredth.)

1.
442 x 112 =
1936
234256
598
968
442 x 112 =
44 x 44 = 1936
11 x 11 = 121
1936 x 121 = 234256
Solution: 442 x 112 = 234256
2.
93 ÷ 44 =
2.85
1.69
1.5
216
93 ÷ 44 =
93 ÷ 44 =
9 x 9 = 81 x 9 = 729
4 x 4 = 16 x 4 = 64 x 4 = 256
729 ÷ 256 = 2.85
Solution: 93 ÷ 44 = 2.85
3.
162 ÷ 25 =
6.4
2.57
3.2
8
162 ÷ 25 =
16 x 16 = 256
2 x 2 = 4 x 2 = 8 x 2 = 16 x 2 = 32
256 ÷ 32 = 8
Solution: 162 ÷ 25 = 8
4.
34 x 36 ÷ 6 =
42.67
10.5
36
9841.5
34 x 36 ÷ 6 =
3 x 3 = 9 x 3 = 27 x 3 = 81
3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243 x 3 = 729
81 x 729 = 59049 ÷ 6 = 9841.5
Solution: 34 x 36 ÷ 6 = 9841.5
5.
64 x 23 =
84
50
144
10368
64 x 23 =
6 x 6 = 36 x 6 = 216 x 6 = 1296
2 x 2 = 4 x 2 = 8
1296 x 8 = 10368
Solution: 64 x 23 = 10368
6.
43 x 52 =
2045
1600
120
160
43 x 52 =
4 x 4 = 16 x 4 = 64
5 x 5 = 25
64 x 25 = 1600
Solution: 43 x 52 = 1600
7.
72 x 35 =
210
72
11907
147
72 x 35 =
7 x 7 = 49
3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243
49 x 243 = 11907
Solution: 72 x 35 = 11907
8.
172 - 83 ÷ 30 =
1.5
1.93
-7.43
.33
172 - 83 ÷ 30 =
17 x 17 = 289
8 x 8 = 64 x 8 = 512
289 - 512 = -223 ÷ 30 = -7.43
Solution: 172 - 83 ÷ 30 = -7.43
9.
253 ÷ 152 =
694.4
50
69.44
2250
253 ÷ 152 =
25 x 25 = 625 x 25 = 15625
15 x 15 = 225
15625 ÷ 225 = 69.44
Solution: 253 ÷ 152 = 69.44
10.
103 x 202 ÷ 500 =
800
2.4
2
.57
103 x 202 ÷ 500 =
10 x 10 = 100 x 10 = 1000
20 x 20 = 400
1000 x 400 = 400000 ÷ 500 = 800
Solution: 103 x 202 ÷ 500 = 800