Identify the greater number in each of the following:(i) 25 or 52(ii)

1.	Identify the greater number in each of the following:(i) 25 or 52(ii) 34 or 43(iii) 35 or 53
Answer» (i) Given 2⁵ or 5² 2⁵ = 2 × 2 × 2 × 2 × 2 = 32 5² = 5 × 5 = 25 Therefore, 2⁵ > 5² (ii) Given 3⁴ or 4³ 3⁴ = 3 × 3 × 3 × 3 = 81 4³= 4 × 4 × 4 = 64 Therefore, 3⁴ > 4³ (iii) Given 3⁵or 5³ 3⁵ = 3 × 3 × 3 × 3 × 3 = 243 5³ = 5 × 5 × 5 = 125 Therefore, 3⁵ > 5³

Identify the greater number in each of the following:(i) 25 or 52(ii) 34 or 43(iii) 35 or 53

Answer»

(i) Given 2⁵ or 5²

2⁵ = 2 × 2 × 2 × 2 × 2

= 32

5² = 5 × 5

= 25

Therefore, 2⁵ > 5²

(ii) Given 3⁴ or 4³

3⁴ = 3 × 3 × 3 × 3

= 81

4³= 4 × 4 × 4

= 64

Therefore, 3⁴ > 4³

(iii) Given 3⁵or 5³

3⁵ = 3 × 3 × 3 × 3 × 3

= 243

5³ = 5 × 5 × 5

= 125

Therefore, 3⁵ > 5³