Question

Express each of the following numbers using exponential notation :

(i) 512

(ii) 343

(iii) 729

(iv) 3125

Answer 1

(i) 512

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹

The exponential notation of 512 is 2⁹

(ii) 343

343 = 7 × 7 × 7 = 7³

∴ The exponential notation of 343 is 7³

(iii) 729

729 = 3 × 3 × 3 × 3 × 3 × 3 = 3⁶

∴ The exponential notation of 729 is 3⁶

(iv) 3125

3125 = 5 × 5 × 5 × 5 × 5 = 5⁵

∴ The exponential notation of 3125 is 5⁵