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Mathematics for IGCSE & O level - Indices 1 (Section 2)

1
Which of the following is equivalent to √a6?
Answer
(A)
a3
2
What is the index (or exponent) in the expression 24?
Answer
(B)
4
3
Simplify: 24 × 2-2
Answer
(B)
2
4
Simplify: (x4)2
Answer
(B)
x8
5
Which is equivalent to 53 / 51?
Answer
(A)
52
6
What is the simplified form of 34 / 32?
Answer
(B)
32
7
What is the simplified form of (xa)b?
Answer
(C)
xab
8
Evaluate: 91/2
Answer
(A)
3
9
Simplify the expression: x5 * x-2
Answer
(A)
x3
10
Which of the following statements are true regarding indices?
Answer
A
D
11
If 4x = 64, what is the value of x?
Answer
(B)
3
12
What is the index notation for 8 * 8 * 8?
Answer
(C)
83
13
Which of the following is equal to (22)0?
Answer
(B)
1
14
Simplify: 52 x 53
Answer
(A)
55
15
Which of the following is NOT equal to 1?
Answer
(D)
05
16
Which is equivalent to the cube root of 64?
Answer
(B)
4
17
Which of the following is equivalent to 23 × 22?
Answer
(A)
25
18
What is the value of √81?
Answer
(B)
9
19
Which of the following is equivalent to the cube root of x?
Answer
(B)
x1/3
20
Simplify: y-2 * y5
Answer
(A)
y3
21
Evaluate: 491/2
Answer
(A)
7
22
Which expression is equivalent to (23)2?
Answer
(B)
26
23
Which expression is equal to 10-2?
Answer
(C)
1/100
24
If a = 3, what is the value of a2?
Answer
(B)
9
25
Simplify: 76 / 72
Answer
(B)
74
26
What is the result of 2-3?
Answer
(C)
1/8
27
Which rule applies when simplifying expressions like am/an?
Answer
(B)
Subtract the exponents
28
Evaluate: (1/2)-2
Answer
(D)
4
29
Which are correct statements about indices?
Answer
A
C
D
30
What is the value of 4-2?
Answer
(C)
1/16
31
Which expression(s) are equivalent to 24?
Answer
A
B
C
32
What is the simplified form of (16)3/4?
Answer
(C)
8
33
Which of the following is/are true regarding index laws?
Answer
A
B
D
34
What is the simplified form of (a4)3?
Answer
(B)
a12
35
Which expression is equal to 42 * 43?
Answer
B
C
36
Which statement describes the meaning of a negative index?
Answer
(B)
The reciprocal of the base raised to the positive index.
37
What is the value of 23?
Answer
(C)
8
38
Which of the following are true regarding index notation?
Answer
A
B
C
39
Which is another way of writing the cube root of 64?
Answer
(D)
641/3
40
Simplify x3 * x4.
Answer
(B)
x7
41
Which of the following is equivalent to (32)3?
Answer
B
C
D
42
When dividing terms with the same base, what operation do you perform on the indices?
Answer
(B)
Subtract
43
Simplify: (23)2
Answer
(B)
26
44
Express 1/8 as a power of 2.
Answer
(B)
2-3
45
Evaluate: 272/3
Answer
(B)
9
46
Which expression is equal to the square root of 25?
Answer
(B)
251/2
47
Which are equivalent to 64?
Answer
A
B
C
48
Simplify: y2 * y5
Answer
(B)
y7
49
What is the value of 100?
Answer
(B)
1
50
What is the cube root of 8?
Answer
(A)
2