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Very small numbers can be expressed in standard form by using ___________. Fill in the blank to make the statement true.

Answer: Very small numbers can be expressed in standard form by using negative exponents. Example: 0.000064 = 64/100000 0.000064 = 64/105 By laws... View Article

The expression for 8^-2 as a power with the base 2 is _________. Fill in the blank to make the statement true.

Answer: The expression for 8-2 as a power with the base 2 is (2)-6. 8-2 = (2 × 2 × 2)-2 = (23)-2 By using the law of exponent (am)n =... View Article

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 = (1/2)3×2 = (1/2)6 An exponent of a... View Article

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 = 5 5+(-5) = 5 5-5 By using the law of exponent a0 =... View Article

5⁰ = . Fill in the blank to make the statement true.

Answer: 50 = 1 By using the law of exponent a0 = 1 An exponent of a number represents the number of times the number is multiplied by itself.... 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 + (-10) = a 3 - 10 = a-7 An exponent of a... 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 The multiplicative inverse of a number say N is represented by 1/N or N-1. It is also... 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 result. The... 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 or three times. The... 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 An exponent of a number represents the number of times... 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) An exponent of a number represents the number... 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 ÷ y)4 An exponent... 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 ÷... 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 An exponent of a number represents the number of times the number is multiplied by... 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 10. This form of representation is... 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 power of 10. This form of... 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 power of 10. This form of... 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 – (1/12) -1 = 56 – 12... 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 An exponent of a number represents the number of times... 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 An exponent of a number represents the number of... View Article

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