Exponents and Powers
Choose the correct option:
1.
(-2)5 ÷ (-2)8
1
−
a.
8
1
−
c.
5
b.
1
8
d.
−
1
2
2.
Write the expression using exponents: 61 × 61 × 61 × 61 × 61
a.
614
b.
615
3
c.
61
d.
612
3.
Evaluate: 82
a.
512
c.
64
b.
d.
8
30
4.
Find the multiplicative inverse of 2– 4.
a.
25
b.
23
2
c.
2
d.
24
5.
Simplify and write in exponential form: (–2)–3 × (–2)– 4
a.
(-2)-7
b.
(2)-7
7
c.
(-2)
d.
(2)7
Fill in the blanks:
6. The repeated factor in an exponential expression is called ____________________________________.
7.
When we have to add numbers in standard form, we convert them into numbers with the ___________________________ exponents.
8. A group of students were given an assignment to collect different types of leaves. The group collected32 types of leaves.
Represent the number of leaves collected in the form of exponential expression with its base being indivisible.
9.
10.
Evaluate the exponential expression (-b)4 × (-b)5, for b = 4.
Find the value of the expression a2 for a = 10.
11.
Expand the following numbers using exponents:
a.
1025.63
b.
1256.249
12.
Find m so that (–3)m + 1 × (–3)5 = (–3)7
Answers
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
a
b
c
d
a
base
same
25
-262144
100
a.
1025.63 = 1 × 103 + 0 × 102 + 2 × 101 + 5 × 100 + 6 × 10-1 + 3 × 10-2
b.
1256.249 = 1 × 103 + 2 × 102 + 5 × 101 + 6 × 100 + 2 × 10-1 + 4 × 10-2 + 9 × 10-3
m=1