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25-05-2020
Mathematics

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

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MathPhys MathPhys

25-05-2020

Step-by-step explanation:

45⁴⁵ 15¹⁵

(3²·5)⁴⁵ (3·5)¹⁵

(3⁹⁰ 5⁴⁵) (3¹⁵ 5¹⁵)

3¹⁰⁵ 5⁶⁰

3⁷⁵ 3³⁰ 5⁶⁰

3⁷⁵ (3·5²)³⁰

3⁷⁵ 75³⁰

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