Identify the greater number in each of the following pairs.(i) 23 or

1.	Identify the greater number in each of the following pairs.(i) 23 or 32(ii) 53 or 35(iii) 28 or 82
Answer» (i) 2³ or 3² = 2³ = 2 × 2 × 2 = 8 and 3² = 3 × 3 = 9 ∴ 2³ < 3² or 3² > 2³ (ii) 5³ or 3⁵ = 5³ = 5 × 5 × 5 = 125 and 3⁵ = 3 × 3 × 3 × 3 × 3 = 243 ∴ 3⁵ > 5³ iii) 2⁸ or 8² = 2⁸ = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256 8² = 8 × 8 = 64 ∴ 2⁸ > 8²

Identify the greater number in each of the following pairs.(i) 23 or 32(ii) 53 or 35(iii) 28 or 82

Answer»

(i) 2³ or 3² = 2³ = 2 × 2 × 2

= 8 and 3² = 3 × 3 = 9

∴ 2³ < 3² or 3² > 2³

(ii) 5³ or 3⁵ = 5³ = 5 × 5 × 5 = 125 and 3⁵

= 3 × 3 × 3 × 3 × 3 = 243

∴ 3⁵ > 5³

iii) 2⁸ or 8² = 2⁸

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256

8² = 8 × 8 = 64

∴ 2⁸ > 8²