Identify the greater number in each of the following.(i) 63 or 36(ii)

1.	Identify the greater number in each of the following.(i) 63 or 36(ii) 53 or 35(iii) 28 or 82
Answer» (i) 6³ or 3⁶ 6³ = 6 x 6 x 6 = 36 x 6 = 216 3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729 729 > 216 gives 3⁶ > 6³ ∴ 3⁶ is greater. (ii) 5³ or 3⁵ 5³ = 5 x 5 x 5 = 125 3⁵ = 3 x 3 x 3 x 3 x 3 = 243 243 > 125 gives 3⁵ > 5³ ∴ 3⁵ is greater. (iii) 2⁸ or 8² 2⁸ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256 8² = 8 x 8 = 64 256 > 64 gives 2⁸ > 8² ∴ 2⁸ is greater.

Identify the greater number in each of the following.(i) 63 or 36(ii) 53 or 35(iii) 28 or 82

Answer»

(i) 6³ or 3⁶

6³ = 6 x 6 x 6

= 36 x 6

= 216

3⁶ = 3 x 3 x 3 x 3 x 3 x 3

= 729

729 > 216 gives 3⁶ > 6³

∴ 3⁶ is greater.

(ii) 5³ or 3⁵

5³ = 5 x 5 x 5

= 125

3⁵ = 3 x 3 x 3 x 3 x 3

= 243

243 > 125 gives 3⁵ > 5³

∴ 3⁵ is greater.

(iii) 2⁸ or 8²

2⁸ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 256

8² = 8 x 8

= 64

256 > 64 gives 2⁸ > 8²

∴ 2⁸ is greater.