Say true or false and justify your answer: 30 = (1000)0
30 = (1000)0 The given statement is True. Explanation Let us solve the given exponential equation by considering Left Hand Side... View Article
Latest Posts
Say true or false and justify your answer: 23 × 32 = 65
23 × 32 = 65 The given statement is false. Explanation Let us solve the given exponential equation by considering Left Hand... View Article
Say true or false and justify your answer: 23 > 52
23 > 52 The given statement is false. Explanation Let us solve the given exponential equation by considering Left Hand Side... View Article
Say true or false and justify your answer: 10 × 1011= 10011
10 × 1011 = 10011 The given statement is false. Explanation Let us solve the given exponential equation by considering Left... View Article
Simplify and express each of the following in exponential form: (23 × 2)2
(23 × 2)2 Solution = (23 + 1)2 [∵am × an = am + n] = (24)2 (24)2 can be written as = (2)4... View Article
Simplify and express each of the following in exponential form: (45 × a8b3)/ (45 × a5b2)
(45 × a8b3)/ (45 × a5b2) Solution = 45 – 5 × (a8 – 5 × b3 – 2) … [∵am ÷ an = am –... View Article
Simplify and express each of the following in exponential form: (a5/a3) × a8
(a5/a3) × a8 Solution = (a5 – 3) × a8 … [∵am ÷ an = am – n] = a2 × a8 = a2 +... View Article
Simplify and express each of the following in exponential form: (28 × a5)/ (43 × a3)
(28 × a5)/ (43 × a3) Solution (4)3 can be expressed as = (2 × 2)3 = (22)3 (52)4 can be written as = (2)2... View Article
Simplify and express each of the following in exponential form: (30 + 20) × 50
(30 + 20) × 50 Solution = (1 + 1) × 1 = (2) × 1 = 2 Answer (30 + 20)... View Article
Simplify and express each of the following in exponential form: 20 + 30 + 40
20 + 30 + 40 Solution = 1 + 1 + 1 = 3 Answer 20 + 30 + 40= 3
Simplify and express each of the following in exponential form: 37/ (34 × 33)
37/ (34 × 33) Solution = 37/ (34+3) … [∵am × an = am + n] = 37/ 37 = 37 – 7 …... View Article
Simplify and express each of the following in exponential form: (3 × 72× 112)/ (21 × 112)
(3 × 72 × 118)/ (21 × 113) Solution Factors of 21 = 7 × 3 The given expression can be... View Article
Simplify and express each of the following in exponential form: 254 ÷ 53
254 ÷ 53 Solution (25)4 can be expressed as = (5 × 5)4 = (52)4 (52)4 can be written as = (5)2 ×... View Article
Simplify and express each of the following in exponential form: ((52)3 × 54) ÷ 57
((52)3 × 54) ÷ 57 Solution (52)3 can be expressed as = (5)2 × 3 [∵(am)n = amn] = 56 Then, = (56 × 54)... View Article
Simplify and express each of the following in exponential form: (23 × 34 × 4)/ (3 × 32)
(23 × 34 × 4)/ (3 × 32) Answer Factorisation of 32 = 2 × 2 × 2 × 2 × 2... View Article
Using laws of exponents, simplify and write the answer in exponential form: (i) 32 × 34 × 38 (ii) 615 ÷ 610 (iii) a3 × a2 (iv) 7x × 72 (v) (52)2 ÷ 53( vi) 25 × 55 (vii) a4 × b4 (viii) (34)2 (ix) (220 ÷ 215) × 23 (x) 8t ÷ 82
(i) 32 × 34 × 38 Answer We know that by the rule of multiplying the powers with the same base =... View Article
Compare the following numbers: (i) 2.7 × 1012 ; 1.5 × 108 (ii) 4 × 1014 ; 3 × 1017
(i) 2.7 × 1012 ; 1.5 × 108 Answer On comparing the given exponents of base 10, Hence 2.7 × 1012 >... View Article
Simplify: (i) (- 4)3 (ii) (-3) × (-2)3 (iii) (-3)2 × (-5)2 (iv) (-2)3 × (-10)3
(i) (– 4)3 Answer The expansion of given expression -43 is = – 4 × – 4 × – 4... View Article
Simplify: (i) 2 × 102 (ii) 72 × 22 (iii) 23 × 5 (iv) 3 × 44 (v) 0 × 102 (vi) 52 × 33 (vii) 24 × 32 (viii) 32 × 104
(i) 2 × 103 Answer We can express the given question as follows, = 2 × 10 × 10 ×... View Article
Express each of the following as product of powers of their prime factors: (i) 648 (ii) 405 (iii) 540 (iv) 3,600
(i) 648 Answer The prime factorisation of 648 = 2 × 2 × 2 × 3 × 3 × 3... View Article
