Question

6^12×35^28×15^16/14^12×21^11×5^28=?

Answer 1

(6^12 x 35^28 x 15^16)/ 14^12 x 21^11


take the numerator first

6^12 = 2^12 * 3^12
35^28 = 7^28 * 5^28
15^16 = 3^16 * 5^16

denominator

14^12 = 2^12 * 7^12
21^11 = 3^11 * 7 *11
5^28 = 1^28 * 5^28

we can cancel 2^12, 7^23 , 3^11 and 5^28

we are left with
3* 5^16 * 7^5 * 3^16
1+16+5+16 = 38 ( prime factor )