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(–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 An exponent of a... 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 An exponent of a number represents the number of times... View Article

(-5/7)^-5 is equal to: (a) (5/7)^-5 (b) (5/7)⁵ (c) (7/5)⁵ (d) (-7/5)⁵

Answer: (d) (-7/5)5 (-5/7)-5 By the law of exponents: a-n = 1/an = 1/(-5/7)5 = (-7/5)5 An exponent of a number represents the number of times... View Article

Which of the following is equal to (-3/4)^-3? (a) (3/4)^-3 (b) – (3/4)^-3 (c) (4/3)³ (d) (-4/3)³

Answer: (d) (-4/3)3 (-3/4)-3 By the law of exponents: a-n = 1/an = 1/(-3/4)3 = (-4/3)3 An exponent of a number represents the number of times... View Article

If x be any integer different from zero and m, n be any integers, then (x^m)ⁿ is equal to: (a) x^m+n (b) x^mn (c) x^m/n (d) x^m-n

Answer: (b) xmn By the law of exponents (am)n = amn (xm)n = xmn An exponent of a number represents the number of times the number is... View Article

If x be any integer different from zero and m be any positive integer, then x^-m is equal to: (a) x^m (b) –x^m (c) 1/x^m (d) -1/x^m

Answer: (c) 1/xm By the law of exponents a-m = 1/am ∴ x-m = 1/xm An exponent of a number represents the number of times the number is... View Article

If x be any non-zero integer, then x^-1 is equal to (a) x (b) 1/x (c) – x (c) -1/x

Answer: (b) 1/x By the law of exponents a-m = 1/am ∴ x-1 = 1/x1 An exponent of a number represents the number of times the number is... View Article

If y be any non-zero integer, then y⁰ is equal to: (a) 1 (b) 0 (c) – 1 (c) Not defined

Answer: (a) 1 By the law of exponent a0 = 1 ∴ y0 = 1 An exponent of a number represents the number of times the number is multiplied by... View Article

If x be any non-zero integer and m, n be negative integers, then x^m × xⁿ is equal to: (a) x^m (b) x^m+n (c) xⁿ (d) x^m-n

Answer: (b) xm+n Using law of exponents, am × an= (a)m+n Where a is non-zero integer Similarly xm × xn = (x)m+n An exponent of a... View Article

The multiplicative inverse of (-5/9)^-99 is: (a) (-5/9)⁹⁹ (b) (5/9)⁹⁹ (c) (9/-5)⁹⁹ (d) (9/5)⁹⁹

Answer: (a) (-5/9)99 The multiplicative inverse a × b = 1 Here b is the multiplicative inverse of a. Let x be the multiplicative inverse... View Article

The value of (-2/3)⁴ is equal to: (a) 16/81 (b) 81/16 (c) -16/81 (d) 81/ −16

Answer: (a) 16/81 (-2/3)4 = (-2/3)(-2/3)(-2/3)(-2/3) = 16/81 An exponent of a number represents the number of times the number is multiplied... View Article

The value of (–2)^2×3-1 is (a) 32 (b) 64 (c) – 32 (d) – 64

Answer: (c) – 32 (–2)2×3-1 =(-2)6-1 =(-2)5 =-32 An exponent of a number represents the number of times the number is... View Article

The multiplicative inverse of 10^-100 is (a) 10 (b) 100 (c) 10¹⁰⁰ (d) 10^-100

Answer: (c) 10100 By the law of exponent, we know a-n = 1/an. So, 10-100 = 1/10100 The multiplicative inverse for any integer a is 1/a, such... View Article

The reciprocal of (2/5)^-1 is: (a) 2/5 (b) 5/2 (c) –5/2 (d) –2/5

Answer: (b) 5/2 By the law of exponent, we know a-n = 1/an. Hence, (2/5)-1 = 1/(2/5) = 5/2 An exponent of a number represents the number of... View Article

The value of (2/5)^-2 is: (a) 4/5 (b) 4/25 (c) 25/4 (d) 5/2

Answer: (c) 25/4 By the law of exponent we know: a-n = 1/an. Hence (2/5)-2 = 1/(2/5)2 = 1/(4/25) = 25/4 An exponent of a number represents the... View Article

The value of 3⁵ ÷ 3^-6 is: (a) 3⁵ (b) 3^-6 (c) 3¹¹ (d) 3^-11

Answer: (c) 311 By the law of exponents, we know, am/an= am-n Hence, 35 ÷ 3-6 = 35-(-6) = 35 + 6 = 311 An exponent of a number... View Article

The value of 1/(4)^-2 is: (a) 16 (b) 8 (c) 1/16 (d) 1/8

Answer: (a) 16 1/(4)-2 = 1/(1/42) = 42 = 16 An exponent of a number represents the number of times the number is multiplied by itself. The... View Article

3^-2 can be written as: (a) 3² (b) 1/3² (c) 1/3^-2 (d) -2/3

Answer: (b) 1/32 By the law of exponent, we know a-n = 1/an. Hence, 3-2= 1/32 An exponent of a number represents the number of times the number... View Article

For a fixed base, if the exponent decreases by 1, the number becomes: (a) One-tenth of the previous number. (b) Ten times of the previous number. (c) Hundredth of the previous number. (d) Hundred times of the previous number.

Answer: (a) One-tenth of the previous number If the exponent is decreased by one, the number becomes one-tenth of the previous number for the... View Article

In 2ⁿ, n is known as: (a) Base (b) Constant (c) exponent (d) Variable

Answer: (c) Exponent 2 is the rational number which is the base here and n is the power of 2. Hence, it is an exponent. An exponent of a number... View Article

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