Extra Practice 4
Lesson 2.4: Exponent Laws 1
1.
2.
3.
Write each product as a single power.
a) 43 × 42
b) 50 × 50
d) –63 × 61
e) (–7)0 × (–7)2
Write each quotient as a single power.
a) 87 ÷ 85
b) 104 ÷ 100
10

 9
 34
d)
e)
34
 95
5.
c)
(–1)6 ÷ (–1)3
f)
119
116
Express as a single power.
a) 23 × 26 ÷ 29
4.
(–2)2 × (–2)4
(–9)6 × (–9)3
c)
f)
b)
Simplify, then evaluate.
a) 22 – 20 × 2 + 23
(–5)8 ÷ (–5)4 × (–5)3
b)
c)
63  65
62  64
(–2)6 ÷ (–2)5 – (–2)5 ÷ (–2)3
c)
–22(23 ÷ 21) – 23
32 + 42 × 41 ÷ 23
c)
34 4 2  4 0

33
24
Simplify, then evaluate.
a) 43 ÷ 42 + 24 × 32
b)
6.
Write each relationship as a product of powers or a quotient of powers.
a) One million is 1000 times as great as one thousand.
b) One billion is 1000 times as great as one million.
c) One hundred is one-tenth of one thousand.
d) One is one-millionth of one million.
e) One trillion is 1000 times as great as one thousand million.
7.
Identify, then correct any errors in these answers.
Explain how you think the errors occurred.
a) 53 × 52 = 56
b) 23 × 42 = 85
42  44
 42
d) 12 × 14 – 13 = 13
e)
2
1
4 4
c)
(–3)8 ÷ (–3)4 = (–3)4
Lesson 2.4
1. a) 45
d) –64
b) 50
e) (–7)2
c) (–2)6
f) (–9)9
2. a) 82
d) –30
b)
e)
104
(–9)5
c) (–1)3
f) 113
3. a) 20
b) (–5)7
c) 62
4. a) 10
b) –6
c) –24
5. a) 43 ÷ 42 + 24 × 32 = 4 + 16 × 9 = 148
b) 32 + 42 × 41 ÷ 23 = 9 + 64 ÷ 8 = 17
c)
16
4 2  40
34
+
=3+
=3+1=4
3
16
24
3
6. a) 1 000 000 = 103 × 103
b) 1 000 000 000 =103 × 106
c) 100 =
103
101
d) 1 =
10 6
10 6
e) 1 000 000 000 000 = 103 × 103 × 106
The exponents were multiplied instead of added. 53 × 52 = 55
The bases were multiplied. 23 × 42 = 8 × 16 = 128
This solution is correct.
The exponent 3 was subtracted from the sum of exponents 2 and 4.
12 × 14 – 13 = 16 – 13 = 1 – 1 = 0
e) The exponents were multiplied then divided instead of added and subtracted.
7. a)
b)
c)
d)
46
42  44
 43
=
43
42  41