1) (-2/3)⁻³ is equal to:
a) 27/8 b) -8/27 c) -27/8 d) 8/27
2) (-3)² ÷ (-1/2)³ is equal to:
a) -9/8 b) 9/8 c) -72 d) 72
3) The reciprocal of (-2)⁵ is
a) -32 b) -1/32 c) 32 d) 1/32
4) If (1/5)³ x (1/5)ˣ⁺³ = 5⁻², then x is equal to:
a) 4 b) 1/4 c) -1/4 d) -4
5) 4⁰ + 6⁰ - 8⁰ is equal to:
a) 0 b) 1 c) 2 d) -1/2
6) (2³)² ÷ (2²)⁴ is equal to:
a) 4 b) -4 c) -1/4 d) 1/4
7) If (-2/3)ˣ = - 243/32, then x is equal to:
a) -5 b) 5 c) 1/5 d) -1/5
8) (-4)³ ÷ (4)⁴ is equal to:
a) 4 b) -4 c) -1/4 d) 1/4
9) 7⁰ x 5 - (-2)³ - 8⁰ is equal to:
a) 12 b) -12 c) 1/12 d) -1/12
10) If (9/10)² x (10/9)⁵ = (9/10)¹⁻ⁿ, then n is equals to:
a) 4 b) -4 c) 1/4 d) -1/4
11) (3/5)⁻¹ ÷ (-5/2)⁻¹ is equal to:
a) 25/6 b) -25/6 c) 6/25 d) -6/25
12) If (-3)ˣ⁻¹ = - 243, then (243)ˣ⁻⁶ is equal to:
a) (243)⁻¹² b) 243 c) 0 d) 1
13) {(5²)³ x 5⁴} ÷ 5³ is equal to:
a) 5¹³ b) 5⁷ c) 5²¹ d) none
14) If (3⁻¹) . X = (6)⁻¹, then the value of X is
a) 1/2 b) -1/2 c) 2 d) -2
15) If (-9)⁻¹ ÷ X = (18)⁻¹, then the value of X is
a) 2 b) -2 c) 1/2 d) -1/2
16) (2⁰ + 7⁰)/5⁰ is
a) 2 b) 0 c) 9/5 d) 1/5
17) On Simplifying: (2³⁰ + 2²⁹)/(2³¹ - 2³⁰), we get
a) 1 b) 2 c) 2/3 d) 3/2
18) The value of √(3⁻²)
a) 1/9 b) 9 c) -3 d) 1/3
18) (256/625)⁻³⁾⁴ in its simplified form is equal to
a) 25/64 b) 64/125 c) 125/64 d) 64/25
19) (32)¹⁾⁵ x (125)⁻¹⁾³ in its simplified form is equal to
a) 16/25 b) 4/5 c) 2/5 d) 2/25
20) (5ⁿ⁺² - 6x 5ⁿ⁺¹)/(13 x 5ⁿ - 2 x 5ⁿ⁺¹) equal to
a) 5/3 b) -5/3 c) 3/5 d) -3/5
21) The value of (8⁻⁴⁾³ ÷ 2⁻²)¹⁾² is
a) 1/2 b) 2 c) 1/4 d) 4
22) If x is a positive real number, then ⁴√³√x² is
a) x¹⁾²⁴ b) x¹⁾⁶ c) x¹⁾¹² d) x¹⁾²⁰
23) If x= 2 and y= 3, then the value of xʸ + yˣ is
a) 15 b) 17 c) 19 d) 21
24) Which of the following is equal to a ?
a) a¹³⁾⁷ ⁻⁵⁾⁷ b) ¹²√(a⁴)¹⁾³ c) (√a⁵)²⁾⁵ d) a¹³⁾⁷ x a⁷⁾¹³.
25) If a= cᶻ, b= aˣ and c= bʸ, then show that xyz= 1.
26) Find the value of x, if √(5⁰ + 2/3)= (0.6)²⁻³ˣ.
27) Solve: {√(3/5)}ˣ⁺¹ = 125/27.
28) Find the value of 64⁻¹⁾³ (64¹⁾³ - 64²⁾³).
29) Find the value of x if (3²ˣ⁻⁸)/225 = 5³/5ˣ.
30) Find the value of x, if (2/3)ˣ (3/2)²ˣ = 81/16
31) The value of (9)⁰·⁰⁶ x (9)⁰·⁴⁴ is
a) 3 b) 81 c) 9.9 d) 729
32) Which of the following is equal to a ?
a) (√³)²⁾³ b) a¹²⁾⁷ - a⁵⁾⁷ c) ¹²√{(a⁴)¹⁾³} d) a¹²⁾⁷ x a⁷⁾¹²
33) Simplify: [5(8¹⁾³ + 27¹⁾³)³]¹⁾⁴.
34) If a= b²ˣ, b= c²ʸ, c= a²ᶻ, find the value of xyz.
35) Simplify: (9¹⁾³ x 27⁻¹⁾²)/(3¹⁾⁶ x 3⁻²⁾³)
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