(-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 Exponent An exponent of... View Article
Latest Posts
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 Exponent An exponent of... View Article
If x be any integer different from zero and m, n be any integers, then (xm)n is equal to: (a) xm+n (b) xmn (c) xm/n (d) xm-n
Answer: (b) xmn By the law of exponents (am)n = amn (xm)n = xmn Exponent An exponent of a number... View Article
If x be any integer different from zero and m be any positive integer, then x-m is equal to: (a) xm (b) –xm (c) 1/xm (d) -1/xm
Answer: (c) 1/xm By the law of exponents a-m = 1/am ∴ x-m = 1/xm Exponent An exponent of a... 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 Exponent An exponent of a... 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 Exponent An exponent of a... View Article
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to: (a) xm (b) xm+n (c) xn (d) xm-n
Answer: (b) xm+n Using law of exponents, am × an= (a)m+n Where a is non-zero integer Similarly xm × xn... 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... 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 Exponent An exponent of a number represents the number of times the... 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 Exponent An exponent of a number represents the number of times the... 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... 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 Exponent... 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) =... 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... 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 Exponent An exponent of a number represents the number of... 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 Exponent An exponent of... 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... 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.... View Article
C.P. = M.P. – Discount. State whether the statement is true (T) or false (F).
Answer: False The relation between marked price and discount is given by Selling price (S.P) = Marked price(M.P) – Discount... View Article
Compound interest is the interest calculated on the previous year’s amount. State whether the statement is true (T) or false (F).
Answer: True The stated statement is true. Compound interest means that the interest on the previous year is liable to... View Article
