Question

1. (i) Express 2704 as a product of its prime factors.

(ii) Using your answer to part (i), explain why 2704 is a perfect square.
(iii) Using your answer to part (i), explain why 2704 is not a perfect cube.​

Answer 1

all answers below

Explanation:

(i) 2704 = 2^4 x 13^2

(ii) as both indices (the powers) are divisible by 2, it is a perfect square.

(iii) as both indices are not divisible by 3, it is not a perfect square.