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

1
Evaluate: 4² * 4^-3
Одговорити
(A)
1/4
2
Simplify: 2⁸ / 2⁴
Одговорити
(B)
2⁴
3
Which of the following correctly uses the rule for multiplying indices?
Одговорити
A
B
4
Which of the following is equivalent to 9^1/2?
Одговорити
(A)
3
5
Which of the following expressions is/are equivalent to 1/16?
Одговорити
A
B
D
6
What does the expression 7⁴ mean?
Одговорити
(C)
7 x 7 x 7 x 7
7
Which expression(s) are equivalent to 1/9?
Одговорити
A
B
8
How is 6 x 6 x 6 x 6 written in index notation?
Одговорити
(C)
6⁴
9
What does the exponent in the expression 2⁵ indicate?
Одговорити
(A)
The base is multiplied by itself 5 times.
10
Simplify: (5²)³
Одговорити
(B)
5⁶
11
What is the simplified form of: (x² * x³) / x⁴?
Одговорити
(A)
x
12
What operation is indicated by the index '1/2'?
Одговорити
(C)
Square root
13
Which of the following is equivalent to √9?
Одговорити
(B)
9^1/2
14
What does 5² represent?
Одговорити
(C)
5 x 5
15
Simplify: (p³)⁴
Одговорити
(B)
p¹²
16
Which calculation represents 3³?
Одговорити
(C)
3 x 3 x 3
17
Which of the following is true?
Одговорити
(C)
Any number to the power of 1 is itself.
18
What is the result of 27^1/3?
Одговорити
(A)
3
19
Which of the following represent(s) the cube root of a number?
Одговорити
A
B
20
How is the cube root of 27 expressed using indices?
Одговорити
(C)
27^1/3
21
What does the index represent in index notation?
Одговорити
(B)
The number of times the base is multiplied by itself
22
What is the index in the expression 5⁴?
Одговорити
(A)
4
23
When simplifying expressions with exponents, what do you do when dividing terms with the same base?
Одговорити
(B)
Subtract the exponents.
24
Which of the following represents a^2/3?
Одговорити
A
D
25
Which of the following represents the reciprocal of x³?
Одговорити
(A)
x^-3
26
Evaluate: 5^-1 x 5²
Одговорити
(A)
5
27
Simplify: 9⁹/9⁰
Одговорити
(C)
9⁹
28
What is the value of 16^1/4?
Одговорити
(B)
4
29
Identify the correct statements about fractional indices.
Одговорити
A
B
C
30
Which of the following statements is/are correct?
Одговорити
A
C
31
What is the result of 10^-3?
Одговорити
(B)
1/1000
32
Which is equivalent to 1/3²?
Одговорити
(B)
3^-2
33
Calculate the value of 100^1/2.
Одговорити
(A)
10
34
Simplify: (4^1/2)³
Одговорити
(C)
8
35
Evaluate: 3³ * 3^-2
Одговорити
(B)
3
36
What is the value of 4^-1?
Одговорити
(C)
1/4
37
What is the value of any non-zero number raised to the power of 0?
Одговорити
(B)
1
38
Which expression is equivalent to (x²)⁵?
Одговорити
(B)
x¹⁰
39
Which of the following represents the square root of x?
Одговорити
(B)
x^1/2
40
Evaluate: 3^-2
Одговорити
(C)
1/9
41
Which of the following represents the cube root of 64?
Одговорити
(B)
64^1/3
42
Which of the following is a correct example of index notation?
Одговорити
(A)
4 x 4 x 4 x 4 = 4⁴
43
How is a number raised to the power of 1/3 interpreted?
Одговорити
(B)
Cube root
44
What is the value of 8^2/3?
Одговорити
(B)
4
45
Which expression equals 125^1/3?
Одговорити
(A)
5
46
What is the value of 7^-2?
Одговорити
(C)
1/49
47
Simplify: 7⁵ / 7²
Одговорити
(A)
7³
48
What is the result when any non-zero number is raised to the power of zero?
Одговорити
(B)
1
49
Which of the following best describes x^-n?
Одговорити
(C)
The reciprocal of xⁿ.
50
If x^a = y and a is negative, which statement must be true?
Одговорити
(C)
y is a fraction.