The value of (1/23)2 equal to _______. Fill in the blank to make the statement true.
Answer: The value of (1/23)2 is equal to (1/26) By using the law of exponent (am)n = amn = (1/23)2... View Article
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55 × 5-5 = ______. Fill in the blank to make the statement true.
Answer: 55 × 5-5= 1 55 × 5-5 By using the law of exponent am × an = am+n =... View Article
50 = . Fill in the blank to make the statement true.
Answer: 50 = 1 By using the law of exponent a0 = 1 Exponent An exponent of a number represents... View Article
a3 × a-10 = ______. Fill in the blank to make the statement true.
Answer: a3 × a-10 = a-7 a3 × a-10 By using the lawof exponent am×an = am+n = a 3... View Article
The multiplicative inverse of 1010 is _______. Fill in the blank to make the statement true.
Answer: The multiplicative inverse of 1010 is 10-10 Multiplicative inverse The multiplicative inverse of a number say N is represented... View Article
Which of the following is not the reciprocal of (2/3)4? (a) (3/2)4 (b) (3/2)-4 (c) (2/3)-4 (d) 34/24
Answer: (b) (3/2)-4 In Mathematics, reciprocal means an expression which when multiplied by another expression, gives unity (1) as a... View Article
Cube of -1/2 is (a) 1/8 (b) 1/16 (c) -1/8 (d) -1/16
Answer: (c) -1/8 In mathematics, the cube of the number represents the number, when the given number is multiplied thrice... View Article
For a non-zero rational number z, (z-2)3 equal to (a) z6 (b) z-6 (c)z1 (d) z4
Answer: (b) z-6 By the law of exponents: (am)n = amn (z-2)3 = z(-2 × 3) = z -6 Exponent... View Article
For a non-zero rational number p, p13 ÷ p8 is equal to (a) p5 (b) p21 (c) p-5 (d) p-19
Answer: (a) p5 By law of exponent: (a)m÷(a)n = (a)m-n p13 ÷ p8 = p(13 – 8) = p(5) Exponent... View Article
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to (a) (x ÷ y)0 (b) (x ÷ y)1 (c) (x ÷ y)4 (d) (x ÷ y)8
Answer: (c) (x ÷ y)4 x4 ÷ y4 The law of exponent (a)m÷(b)m = (a÷b)m x4 ÷ y4 = (x... View Article
(3/4)5 ÷(5/3)5 is equal to (a) (3/4÷5/3)5 (b) (3/4 ÷ 5/3)1 (c) (3/4 ÷ 5/3)0 (d) (3/4 ÷ 5/3)10
Answer: (a) (3/4÷5/3)5 (3/4)5 ÷(5/3)5 The law of exponent (a)m÷(b)m = (a÷b)m (3/4)5 ÷(5/3)5 = (3/4 ÷ 5/3)5 Exponent An... View Article
(1/10)0 is equal to (a) 0 (b) 1/10 (c) 1 (d) 10
Answer: (c) 1 By law of exponent a0 = 1 ∴ (1/10)0 = 1 Exponent An exponent of a number... View Article
The usual form for 2.03 × 10-5 (a) 0.203 (b) 0.00203 (c) 203000 (d) 0.0000203
Answer: (d) 0.0000203 Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of... View Article
The standard form for 234000000 is (a) 2.34 × 108 (b) 0.234 × 109 (c) 2.34 × 10-8 (d) 0.234×10-9
Answer: (a) 2.34 × 108 Any number can be expressed as decimal numbers between 1 and 10 multiplied by a... View Article
The standard form for 0.000064 is (a) 64 × 104 (b) 64 × 10-4 (c) 6.4 × 105 (d) 6.4 × 10-5
Answer: (d) 6.4 × 10-5 Any number can be expressed as decimal numbers between 1 and 10 multiplied by a... View Article
The value of (7-1 – 8-1) -1 – (3-1 – 4-1)-1 is: (a) 44 (b) 56 (c) 68 (d) 12
Answer: (a) 44 (7-1 – 8-1) -1 – (3-1 – 4-1)-1 = (1/7-1/8) -1 – (1/3-1/4)-1 = (1/56) -1 –... View Article
For a non-zero integer x, (x4)-3 is equal to: (a) x12 (b) x-12 (c) x64 (d) x-64
Answer: (b) x-12 (x4)-3 By the law of exponents: (am)n = amn = x4 × (-3) = x-12 Exponent An... View Article
For a non-zero integer x, x7 ÷ x12 is equal to: (a) x5 (b) x19 (c) x-5 (d) x-19
Answer: (c) x-5 x7 ÷ x12 By the law of exponents: am ÷ an = am-n = x7-12 = x-5... View Article
(–9)3 ÷ (–9)8 is equal to: (a) (9)5 (b) (9)-5 (c) (– 9)5 (d) (– 9)-5
Answer: (d) (– 9)-5 (–9)3 ÷ (–9)8 By the law of exponents: am ÷ an=am-n = (-9)3-8 = (-9)-5 Exponent... View Article
(-7/5)-1 is equal to: (a) 5/7 (b) – 5/7 (c) 7/5 (d) -7/5
Answer: (b) – 5/7 (-7/5)-1 By the law of exponents: a-n = 1/an = 1/(-7/5) = -5/7 Exponent An exponent... View Article
