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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 letâ€™s look at the following practice example and see how the problem is worked to find the solution.

3^{2} x 2^{4} =

3 x 3 = 9

2 x 2 = 4 x 2 = 8 x 2 = 16

9 x 16 = 144

__Solution__: 3^{2} x 2^{4} = __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.

10^{3} x 20^{2} ÷ 500 =

800

2.4

2

.57

2.

3^{4} x 3^{6} ÷ 6 =

42.67

10.5

36

9841.5

3^{4} x 3^{6} ÷ 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__: 3^{4} x 3^{6} ÷ 6 = __9841.5__

Answer (d) is correct

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

Answer (d) is correct

3.

6^{4} x 2^{3} =

84

50

144

10368

6^{4} x 2^{3} =

6 x 6 = 36 x 6 = 216 x 6 = 1296

2 x 2 = 4 x 2 = 8

1296 x 8 = 10368

__Solution__: 6^{4} x 2^{3} = __10368__

Answer (d) is correct

6 x 6 = 36 x 6 = 216 x 6 = 1296

2 x 2 = 4 x 2 = 8

1296 x 8 = 10368

Answer (d) is correct

4.

16^{2} ÷ 2^{5} =

6.4

2.57

3.2

8

16^{2} ÷ 2^{5} =

16 x 16 = 256

2 x 2 = 4 x 2 = 8 x 2 = 16 x 2 = 32

256 ÷ 32 = 8

__Solution__: 16^{2} ÷ 2^{5} = __8__

Answer (d) is correct

16 x 16 = 256

2 x 2 = 4 x 2 = 8 x 2 = 16 x 2 = 32

256 ÷ 32 = 8

Answer (d) is correct

5.

9^{3} ÷ 4^{4} =

2.85

1.69

1.5

216

9^{3} ÷ 4^{4} =

93 ÷ 44 =

9 x 9 = 81 x 9 = 729

4 x 4 = 16 x 4 = 64 x 4 = 256

729 ÷ 256 = 2.85

__Solution__: 9^{3} ÷ 4^{4} = __2.85__

Answer (a) is correct

93 ÷ 44 =

9 x 9 = 81 x 9 = 729

4 x 4 = 16 x 4 = 64 x 4 = 256

729 ÷ 256 = 2.85

Answer (a) is correct

6.

44^{2} x 11^{2} =

1936

234256

598

968

44^{2} x 11^{2} =

44 x 44 = 1936

11 x 11 = 121

1936 x 121 = 234256

__Solution__: 44^{2} x 11^{2} = __234256__

Answer (b) is correct

44 x 44 = 1936

11 x 11 = 121

1936 x 121 = 234256

Answer (b) is correct

7.

25^{3} ÷ 15^{2} =

694.4

50

69.44

2250

25^{3} ÷ 15^{2} =

25 x 25 = 625 x 25 = 15625

15 x 15 = 225

15625 ÷ 225 = 69.44

__Solution__: 25^{3} ÷ 15^{2} = __69.44__

Answer (c) is correct

25 x 25 = 625 x 25 = 15625

15 x 15 = 225

15625 ÷ 225 = 69.44

Answer (c) is correct

8.

17^{2} - 8^{3} ÷ 30 =

1.5

1.93

-7.43

.33

17^{2} - 8^{3} ÷ 30 =

17 x 17 = 289

8 x 8 = 64 x 8 = 512

289 - 512 = -223 ÷ 30 = -7.43

__Solution__: 17^{2} - 8^{3} ÷ 30 = __-7.43__

Answer (c) is correct

17 x 17 = 289

8 x 8 = 64 x 8 = 512

289 - 512 = -223 ÷ 30 = -7.43

Answer (c) is correct

9.

7^{2} x 3^{5} =

210

72

11907

147

7^{2} x 3^{5} =

7 x 7 = 49

3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243

49 x 243 = 11907

__Solution__: 7^{2} x 3^{5} = __11907__

Answer (c) is correct

7 x 7 = 49

3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243

49 x 243 = 11907

Answer (c) is correct

10.

4^{3} x 5^{2} =

204^{5}

1600

120

160

4^{3} x 5^{2} =

4 x 4 = 16 x 4 = 64

5 x 5 = 25

64 x 25 = 1600

__Solution__: 4^{3} x 5^{2} = __1600__

Answer (b) is correct

4 x 4 = 16 x 4 = 64

5 x 5 = 25

64 x 25 = 1600

Answer (b) is correct

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^{3}x 20^{2}÷ 500 =10 x 10 = 100 x 10 = 1000

20 x 20 = 400

1000 x 400 = 400000 ÷ 500 = 800

Solution: 10^{3}x 20^{2}÷ 500 =800Answer (a) is correct