Prove the divisibility of the following numbers: d 45^45·15^15 by 75^30

Question

asked Apr 3, 2021 27.5k views

1 Answer

asked Jan 16, 2020 116k views

Hocker asked Jan 16, 2020

8.3k points

1 answer

2 votes

116k views

asked Jul 3, 2020 150k views

Anton Sergeyev asked Jul 3, 2020

8.2k points

2 answers

4 votes

150k views

asked Mar 24, 2020 197k views

MoiTux asked Mar 24, 2020

8.8k points

1 answer

5 votes

197k views

Ise Wisteria · Answer 1 · 2021-04-09T18:43:18+0000

Explanation:

45⁴⁵ 15¹⁵

(3²·5)⁴⁵ (3·5)¹⁵

(3⁹⁰ 5⁴⁵) (3¹⁵ 5¹⁵)

3¹⁰⁵ 5⁶⁰

3⁷⁵ 3³⁰ 5⁶⁰

3⁷⁵ (3·5²)³⁰

3⁷⁵ 75³⁰