Unit 2 Test-Powers & Exponent Rules
Ms. Martel
Name:_______________________
/ 36 marks
1) A recycling company breaks down and delivers recycled plastics. The
recycled plastic is packaged in boxes that are cubes with edge length
30cm. The cost of the plastic is $12/m3 , and delivery costs $15 per 30km. One
customer orders 200 boxes of plastic and he lives 120 km from the supplier.
This expression represents the cost, in dollars:
15 x 120
+ 303 ÷ 156 x 12 x 200
30
How much doe the customer pay? (3 marks)
2) Copy each statement. Insert brackets to make each statement true.
(3 marks)
a. 20 ÷ 2 + 2 x 22 + 6 = 26
b. 20 ÷ 2 + 2 x 22 + 6 = 8
c. 20 ÷ 2 + 2 x 22 + 6 = 120
Unit 2 Test-Powers & Exponent Rules
3) Express as a single power. (4 marks)
a. (−4)3 ÷ (−4)2 x (−4)10
b.
4 3 × 45
42 × 46
4) Simplify, then evaluate. (4 marks)
a. 1011 − 103 × 106
b.
105
103
+ 102
5) Evaluate. (6 marks)
a. 23 × 22 − 25 × 2
Ms. Martel
Unit 2 Test-Powers & Exponent Rules
b. (−2)4 [(−2)5 ÷ (−2)3 ] + (−2)4
c. −24 (26 ÷ 22 ) − 24
6) Simplify then evaluate each expression. (6 marks)
a. (33 ÷ 32 )3 + (84 × 83 )0
b. (62 × 60 )3 + (26 ÷ 24 )3
c. (105 ÷ 102 )2 + (33 ÷ 31 )4
7) Simplify then evaluate each expression. (4 marks)
a. [(−2)3 ÷ (−2)2 ]2 − [(−3)3 × (−3)2 ]2
Ms. Martel
Unit 2 Test-Powers & Exponent Rules
b. [(−2)3 × (−2)2 ]2 + [(−3)3 × (−3)2 ]2
8) Simplify, then evaluate each expression. (6 marks)
a. (6 × 8)5 + (53 )2
b. [(−2)4 ]3 + [(−4)3 ]2 − [(−3)2 ]4
c. [(−5) × (−4)]3 + [(−6)3 ]2 − [(−3)9 ÷ (−3)8 ]5
Ms. Martel