Mathematics for IGCSE & O level - Indices 2 (Section 3)
1
Simplify ( rac{x^6}{x^3} ).
2
Simplify ( x^4 / x^{-2} ).
3
What is the result of ( a^0 )?
4
Which expression is equal to ( rac{x^{-3}}{x^{-5}} )?
5
Simplify ( 9^{ rac{1}{2}} ).
6
Solve: ( 2^x = rac{1}{8} ).
7
Select the expressions that are equivalent to ( rac{1}{a^2}). (Select all that apply)
8
Which expression is equivalent to (2^{-3})?
10
Simplify ( rac{a^5 b^3}{a^2 b} ).
11
Simplify ( (x^2 y^3)^2 ).
12
Simplify ( 2x^3 * 3x^2 ).
13
Select the expressions that simplify to (x^4) (Select all that apply)
14
Which of the following is equivalent to (a^m imes a^n)?
15
Which expressions are equivalent to ( rac{1}{9} )? (Select all that apply)
16
If (x = 2), what is the value of (x^{-2})?
17
What is the result of ( rac{a^m}{a^m} )?
18
What is the result of ( a^n / a^n )?
21
What is the simplified form of ( rac{a^5 b^2}{a^3 b^1})?
22
What is ( sqrt{a^2 b^4} )?
23
Which is equal to ( (2^3)^2 )?
24
Which expression is equivalent to ( rac{5^2}{5^4})?
25
Solve for *x*: ( 3^x = 81 ).
27
Find the value of *x*: (9^x = 81).
28
Which of the following is/are equivalent to (a^5 * a^{-2})? (Select all that apply)
29
Which is the simplified form of ( sqrt{x^8} )?
30
Choose the correct simplification of (3x^2 + 2x^2). (Select all that apply)
31
Which value is equivalent to (( rac{3}{4})^{-1})?
32
Which expression is equal to ( sqrt[4]{x^8} )?
33
Which expression is equivalent to ( sqrt[3]{x^6} )?
34
Which of the following is equivalent to ( ( rac{1}{2})^{-1} )? (Select all that apply)
35
Simplify ( 5x^3 - 2x^3 ).
36
Simplify ( rac{x^5}{x^2} ).
37
Which of the following are true? (Select all that apply)
38
What is the value of ( 5^{-2} )?
39
Simplify ( a^6 / a^{-2} ).
40
Which is equal to ( sqrt{16} )?
41
Solve for *x*: ( 2^x = 32 ).
42
Simplify ( 4x^2 + 3x^2 ).
43
Simplify ( (x^{-2}y^3)^3 ).
44
Which of the following is/are equivalent to ((a^m)^n)? (Select all that apply)
45
Which expressions are equivalent to (16)? (Select all that apply)
46
Simplify ( a^3 imes b^2 imes a^2 ).
47
Simplify: ( rac{a^2 * a^4}{a^3} ).
48
Simplify ( a^4 imes a^{-2} ).
49
Choose the simplified expression for ( rac{x^a * x^b}{x^c}). (Select all that apply)
