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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.
[readmore]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.)
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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 Answer (d) is correct |
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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 Answer (c) is correct |
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 Answer (a) is correct |
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253 ÷ 152 =
25 x 25 = 625 x 25 = 15625 15 x 15 = 225 15625 ÷ 225 = 69.44 Solution: 253 ÷ 152 = 69.44 Answer (c) is correct |
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 Answer (d) is correct |
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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 Answer (a) is correct |
442 x 112 =
44 x 44 = 1936 11 x 11 = 121 1936 x 121 = 234256 Solution: 442 x 112 = 234256 Answer (b) is correct |
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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 Answer (d) is correct |
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 Answer (c) is correct |
4 x 4 = 16 x 4 = 64
5 x 5 = 25
64 x 25 = 1600
Solution: 43 x 52 = 1600
Answer (b) is correct