Sign In

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

1
Which of the following expressions is equivalent to ∛(x3) * ∛(x3)?
Answer
(C)
x2
2
Simplify (x2)3 * x4
Answer
(B)
x10
3
Solve for x: (1/4)x=16
Answer
(A)
-2
4
If x-2 = 1/9, what is the value of x?
Answer
(B)
3
5
If 2x = 0.25, what is x?
Answer
(A)
-2
6
Simplify the expression (x3y-2) / (xy)
Answer
(A)
x2y-3
7
What is the solution to the equation 4x * 43 = 45?
Answer
(B)
2
8
Simplify √75 - √12
Answer
(B)
3√3
9
Which of the following is equivalent to 160.75?
Answer
(B)
12
10
Which of the following expressions is equivalent to 3x+2?
Answer
(D)
3x * 32
11
Which property of exponents is demonstrated by (xm)n = xm*n?
Answer
(C)
Power of a power
12
If 5x = 125, then what is the value of x+2?
Answer
(C)
5
13
Solve for x: 2x = 1/8
Answer
(A)
-3
14
Simplify the expression (9x4y2)1/2
Answer
(A)
3x2y
15
Which of the following is the simplified form of (x2y3)4?
Answer
(B)
x8y12
16
The expression (a3b-2) / (a2b3) simplifies to:
Answer
(B)
a/b5
17
Simplify (2x2) * (3x3)
Answer
(B)
6x5
18
What is the result of simplifying 82/3?
Answer
(B)
4
19
What is the value of x in the equation 4x = 64?
Answer
(B)
3
20
Which expression is equivalent to √(x4)?
Answer
(B)
x2
21
Which of the following is a correct representation of the law of indices for the multiplication of powers with the same base?
Answer
(B)
am * an = am+n
22
What is the expanded form of (a + b)2?
Answer
(B)
a2 + 2ab + b2
23
If 2x * 23 = 32, what is x?
Answer
(B)
2
24
What is the simplified form of xa * xb * xc?
Answer
(B)
xa+b+c
25
Which of the following are equal to 1?
Answer
A
B
26
What is the value of (1000)1/3?
Answer
(A)
10
27
Simplify 3x2 * 2x3
Answer
(B)
6x5
28
What does a negative exponent indicate?
Answer
(D)
Reciprocal
29
The expression ∛(8x6) is equivalent to:
Answer
(A)
2x2
30
Simplify (4x2y-3) / (2xy2)
Answer
(A)
2xy-5
31
What is the value of \((\frac{1}{5})^0\)?
Answer
(B)
1
32
Simplify \( 5^0 + 5^1 \).
Answer
(D)
6
33
Which expressions are equivalent to \( \frac{a^m}{a^n} \)? (Select all that apply)
Answer
A
C
34
Which statement is true regarding the expression (a^x * a^y)?
Answer
(C)
It is equivalent to (a^{x+y})
35
Which of the following statements is/are true about \(a^{-2}\)? (Select all that apply)
Answer
(A)
It is equivalent to \( \frac{1}{a^2} \)
36
Which is a simplified form of ((a^2b)^3)?
Answer
(B)
(a^6b^3)
37
Find *x*: (10^x = 0.1).
Answer
(B)
-1
38
Which expression is equivalent to ( x^a * x^b )?
Answer
(C)
(x^{a+b})
39
Simplify ( (2x^3)^2 ).
Answer
(B)
(4x^6)
40
Which of the following is true about ( a^{-n} )?
Answer
(B)
It is equivalent to \(\frac{1}{a^n}\)
41
Which value is equal to ( 27^{ rac{1}{3}} )?
Answer
(A)
3
42
What is the value of ( ( rac{1}{3})^{-2} )?
Answer
(D)
9
43
Simplify (3^2 + 3^0).
Answer
(B)
10
44
What is the value of *x* if (4^x = 16)?
Answer
(B)
2
45
Which of the following equals to (( rac{2}{3})^2)?
Answer
(A)
( rac{4}{9})
46
Which expression is equivalent to ( 4^x = 64 )?
Answer
(B)
x = 3
47
Which of the following represents a negative exponent?
Answer
(C)
(a^{-1})
48
Which expression is equivalent to ((4x^2y^3)^0)?
Answer
(B)
1
49
Simplify ( x^3 y^2 * x^2 y^3 ).
Answer
(A)
(x^5 y^5)
50
Simplify (sqrt[3]{27x^6})
Answer
(A)
(3x^2)