Answer:
(i) 12 = 2 x 2 x 3 => 2² x 3¹
(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²
(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹
Explanation:
(a) Express each of these numbers as a
product of its prime factors in index
notation.
(i) 12 = 2 x 2 x 3 => 2² x 3¹
(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²
(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹