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Mathematics for IGCSE & O level - Indices 1 (Section 3)

1
Evaluate: 42 * 4-3
Answer
(A)
1/4
2
Simplify: 28 / 24
Answer
(B)
24
3
Which of the following correctly uses the rule for multiplying indices?
Answer
A
B
4
Which of the following is equivalent to 91/2?
Answer
(A)
3
5
Which of the following expressions is/are equivalent to 1/16?
Answer
A
B
D
6
What does the expression 74 mean?
Answer
(C)
7 x 7 x 7 x 7
7
Which expression(s) are equivalent to 1/9?
Answer
A
B
8
How is 6 x 6 x 6 x 6 written in index notation?
Answer
(C)
64
9
What does the exponent in the expression 25 indicate?
Answer
(A)
The base is multiplied by itself 5 times.
10
Simplify: (52)3
Answer
(B)
56
11
What is the simplified form of: (x2 * x3) / x4?
Answer
(A)
x
12
What operation is indicated by the index '1/2'?
Answer
(C)
Square root
13
Which of the following is equivalent to √9?
Answer
(B)
91/2
14
What does 52 represent?
Answer
(C)
5 x 5
15
Simplify: (p3)4
Answer
(B)
p12
16
Which calculation represents 33?
Answer
(C)
3 x 3 x 3
17
Which of the following is true?
Answer
(C)
Any number to the power of 1 is itself.
18
What is the result of 271/3?
Answer
(A)
3
19
Which of the following represent(s) the cube root of a number?
Answer
A
B
20
How is the cube root of 27 expressed using indices?
Answer
(C)
271/3
21
What does the index represent in index notation?
Answer
(B)
The number of times the base is multiplied by itself
22
What is the index in the expression 54?
Answer
(A)
4
23
When simplifying expressions with exponents, what do you do when dividing terms with the same base?
Answer
(B)
Subtract the exponents.
24
Which of the following represents a2/3?
Answer
A
D
25
Which of the following represents the reciprocal of x3?
Answer
(A)
x-3
26
Evaluate: 5-1 x 52
Answer
(A)
5
27
Simplify: 99/90
Answer
(C)
99
28
What is the value of 161/4?
Answer
(B)
4
29
Identify the correct statements about fractional indices.
Answer
A
B
C
30
Which of the following statements is/are correct?
Answer
A
C
31
What is the result of 10-3?
Answer
(B)
1/1000
32
Which is equivalent to 1/32?
Answer
(B)
3-2
33
Calculate the value of 1001/2.
Answer
(A)
10
34
Simplify: (41/2)3
Answer
(C)
8
35
Evaluate: 33 * 3-2
Answer
(B)
3
36
What is the value of 4-1?
Answer
(C)
1/4
37
What is the value of any non-zero number raised to the power of 0?
Answer
(B)
1
38
Which expression is equivalent to (x2)5?
Answer
(B)
x10
39
Which of the following represents the square root of x?
Answer
(B)
x1/2
40
Evaluate: 3-2
Answer
(C)
1/9
41
Which of the following represents the cube root of 64?
Answer
(B)
641/3
42
Which of the following is a correct example of index notation?
Answer
(A)
4 x 4 x 4 x 4 = 44
43
How is a number raised to the power of 1/3 interpreted?
Answer
(B)
Cube root
44
What is the value of 82/3?
Answer
(B)
4
45
Which expression equals 1251/3?
Answer
(A)
5
46
What is the value of 7-2?
Answer
(C)
1/49
47
Simplify: 75 / 72
Answer
(A)
73
48
What is the result when any non-zero number is raised to the power of zero?
Answer
(B)
1
49
Which of the following best describes x-n?
Answer
(C)
The reciprocal of xn.
50
If xa = y and a is negative, which statement must be true?
Answer
(C)
y is a fraction.