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Multiplying
Dividing
Power to a Power
Empowered Fractions
Empowered Expressions
100

53 * 55

a. 108   b. 58   c. 515.   d. 2515

58

5(3+5)

100

126/124

a. 1210    b. 1224     c. 12     d. 122

122

12(6-4)

100

(53)4

a. 57     b. 512    c. 51     d. 154

512

5(3*4)

100

(1/3)4

a. 4/12    b. 1/81    c. 1/12     d. 4/81

1/81

(1*1*1*1)/(3*3*3*3)

100

(5 + 2)3

a. 73    b. 103   c. 13   d. 127

73

200

62 * 612

a. 614   b. 3614   c. 624.   d. 3624

614

6(2+12)

200

1013/108

a. 105    b. 10-5     c. 1021     d. 10104

105

10(13-8)

200

(43)8

a. 45     b. 411    c. 424     d. 128

424

4(3*8)

200

(a/b)3

a. a3/b3    b. a/b3    c. ab3    d. ab1

a3/b3

200

(6a3)2

a. 6a6     b. 36a6     c. 36a5    d. 6a5

36a6 

62 * (a3)2

300

126 * 12-4

a. 1210   b. 1224   c. 122.   d. 12-2

122

12(6-4)

300

253/259

a. 2512    b. 256     c. 25-6     d. 253

25-6

+50 if you can rewrite as a positive exponent

300

(9-2)4

a. 184     b. 92    c. 9-8     d. 96

9-8

+50 if you can rewrite as a positive exponent

300

Who, in your class, is turning 18 this week? 

(Hint: There is more than one)

Caleb and Marc

300

(5m3) * (2m4)

a. 7m7   b. 10m7 c. 10m12  d. 7m12

10m7 

(5*2) (m3 * m4)

400

3-7 * 34

a. 33   b. 311   c. 3-3.   d. 3-28

3-3

+50 points if you can rewrite as a positive exponent

400

126/12-2

a. 124    b. 128     c. 123     d. 12-4

128

12(6 - -2)
400

(7-2)-5

a. 7-7     b. 77    c. 7-10     d. 710

710

7(-2 * -5)

400

(2/5)3

a. 6/15    b. 6/125    c. 2/15     d. 8/125

8/125

(2*2*2) / (5*5*5)

400

(5m3)2 * (2m4)3

a. 10m18    b. 200m18    c. 10m12    d. 200m12

200m18

52 * m6 * 23 * m12

25 * m6 * 8 * m12

500

82 * 8-9

8-7

+50 if you can rewrite as a positive fraction

500

126/126


120

+50 if you can rewrite as the value of this exponent

500

(8-3)0

80

+50 if you can rewrite the actual value

500

(6/7)-2


49/36

(7*7) / (6*6)

500

(8m5)2/(4m4)2

8m2

(82 * m10) / (42 * m8)

64m10 / 8m8