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

1
Simplify (16x8)1/4
Answer
(B)
4x2
2
Which of the following is equivalent to (x-1 + y-1)?
Answer
(C)
1/x + 1/y
3
Simplify (xa * xb) / xc
Answer
(B)
xa+b-c
4
What is the value of (1/2)-2?
Answer
(D)
4
5
Simplify (x3)2
Answer
(B)
x6
6
Which expression is the result of adding the exponents of a2b3 * a3b2
Answer
(D)
a5b6
7
If 2x = 16, what is the value of x?
Answer
(C)
4
8
If ax = b and by = c, which expression equals axy?
Answer
(A)
c
9
Simplify: (4x3y2) / (2xy)
Answer
(A)
2x2y
10
Which expression is equivalent to (2x)3?
Answer
(C)
8x3
11
Simplify a2 * b3 * a-1 * b
Answer
(B)
ab4
12
Simplify x-3 / x-5
Answer
(C)
x2
13
If x3= 125, then x equals?
Answer
(B)
5
14
What is the result when simplifying (a1/2 * b1/2)2?
Answer
(A)
ab
15
Simplify the expression: 34 * 3-2
Answer
(B)
32
16
What is the value of (32)1/2?
Answer
(A)
3
17
If a3 = 27, what is the value of a2?
Answer
(C)
9
18
What is the value of 161/4?
Answer
(A)
2
19
Find the value of x in the equation: (5x)2 = 625
Answer
(B)
3
20
If 3x = 81, what is x?
Answer
(C)
4
21
Which of the following is equal to x2/3?
Answer
(B)
∛(x2)
22
Simplify a5 / a2
Answer
(A)
a3
23
Which is the simplified form of (x1/2+y1/2)2?
Answer
(B)
x + y + 2x1/2y1/2
24
Solve for x: 22x = 16
Answer
(B)
2
25
Simplify: (5-2)-1
Answer
(C)
25
26
Select the simplified forms of the following expressions:
Answer
A
D
27
Simplify (x1/2) / (x-1/2)
Answer
(A)
x
28
Simplify: a5 / a2
Answer
(B)
a3
29
Which of the following is equivalent to a0?
Answer
(B)
1
30
Evaluate: 91/2 - 41/2
Answer
(A)
1
31
Simplify 4x + 4x + 4x + 4x
Answer
(C)
4 * 4x
32
Simplify x4 / x-2
Answer
(B)
x6
33
The expression (x2 - 4) can be factored as:
Answer
(C)
(x - 2)(x + 2)
34
Simplify (xa+b) / xb
Answer
(A)
xa
35
Simplify (a1/2 * a1/3) / a1/6
Answer
(B)
a
36
Simplify: (3a2b)2
Answer
(C)
9a4b2
37
Which of the following is equivalent to √20?
Answer
(A)
2√5
38
If 4x = 0.125, find the value of x.
Answer
(A)
-3/2
39
Solve for x: 9x = 27
Answer
(B)
1.5
40
Express √(9x4) in simplest form.
Answer
(A)
3x2
41
Solve the equation: 3x-1 = 9
Answer
(C)
3
42
What is the simplified form of √x * √y?
Answer
(A)
√(xy)
43
Simplify: (a3b2)-1
Answer
(A)
a-3b-2
44
What is the result when you simplify (am/an) * an?
Answer
(A)
am
45
What is the simplified form of the expression √a * √a * a?
Answer
(A)
a2
46
What is the value of (1/27)-1/3?
Answer
(D)
3
47
What is the value of 43/2?
Answer
(B)
8
48
What is the value of x when x-2 = 4?
Answer
(B)
-0.5
49
What is the result when simplifying √2 * √8?
Answer
(C)
4
50
Which of the following is NOT a correct application of the laws of indices?
Answer
(C)
z6 / z2 = z3