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Exponents - Multiply and Divide

This Math quiz is called 'Exponents - Multiply and Divide' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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An exponent tells you how many times a number is multiplied by itself. For example, if you have the number 3 and you want to multiply it by itself six times you could write it out as follows:

3 x 3 x 3 x 3 x 3 x 3 =

This can become too long to always write out so we use a shortcut using a superscript number. In this case the superscript number would be “6” because we want to multiply 3 times itself six times. To show this using a superscript it will look like:

36

36 = 3 x 3 x 3 x 3 x 3 x 3

We then solve it as: 3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243 x 3 = 729

36 = 729

We can then multiply and/or divide using exponents as follows:

23 x 52 =
2 x 2 = 4 x 2 = 8
5 x 5 = 25
8 x 25 = 200
23 x 52 = 200

1.
63 x 15 =
90
14
216
221
63 x 15 =
6 x 6 = 36 x 6 = 216
1 x 1 = 1 x 1 = 1 x 1 = 1 x 1 = 1
216 x 1 = 216
63 x 15 = 216
2.
44 x 44 ÷ 4 =
64
16
16384
1024
44 x 44 ÷ 4 =
4 x 4 = 16 x 4 = 64 x 4 = 256
256 x 256 = 65536 ÷ 4 = 16384
44 x 44 ÷ 4 = 16384
3.
103 ÷ 23 =
8000
8.33
125
2
103 ÷ 23 =
10 x 10 = 100 x 10 = 1000
2 x 2 = 4 x 2 = 8
1000 ÷ 8 = 125
103 ÷ 23 = 125
4.
52 x 24 =
16
41
18
400
52 x 24 =
5 x 5 = 25
2 x 2 = 4 x 2 = 8 x 2 = 16
25 x 16 = 400
52 x 24 = 400
5.
402 + 302 ÷ 25 =
11.2
5.6
115
100
402 + 302 ÷ 25 =
40 x 40 = 1600
30 x 30 = 900
1600 + 900 = 2500 ÷ 25 = 100
402 + 302 ÷ 25 = 100
6.
73 x 24 ÷ 16 =
343
10.5
2688
3.9
73 x 24 ÷ 16 =
7 x 7 = 49 x 7 = 343
2 x 2 = 4 x 2 = 8 x 2 = 16
343 x 16 = 5488 ÷ 16 = 343
73 x 24 ÷ 16 = 343
7.
222 x 92 =
792
39204
396
8712
222 x 92 =
22 x 22 = 484
9 x 9 = 81
484 x 81 = 39204
222 x 92 = 39204
8.
33 x 62 =
972
108
144
56
33 x 62 =
3 x 3 = 9 x 3 = 27
6 x 6 = 36
27 x 36 = 972
33 x 62 = 972
9.
83 ÷ 25 =
128
16
2.4
2
83 ÷ 25 =
8 x 8 = 64 x 8 = 512
2 x 2 = 4 x 2 = 8 x 2 = 16 x 2 = 32
512 ÷ 32 = 16
83 ÷ 25 = 16
10.
55 ÷ 142 =
-9
1.6
9.8
15.9
55 ÷ 142 =
5 x 5 = 25 x 5 = 125 x 5 = 625 x 5 = 3125
14 x 14 = 196
3125 ÷ 196 = 15.9
55 ÷ 142 = 15.9
Author:  Christine G. Broome

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