Math, asked by lovemaa930, 6 months ago

Simplify (2/5)²⁰ ÷ (5/2)²²

Answers

Answered by biligiri

1

Answer:

25/4

Step-by-step explanation:

(2/5)²⁰ ÷ (5/2)²² [ a/b ÷ c/d = a/b × d/c ]

=> (2)5)²⁰ × (2/5)²²

=> (2/5)²⁰⁺⁽⁻²²⁾ [ aⁿ*aˣ = aⁿ⁺ˣ ]

=> (2/5)⁻²

=> (5/2)² [ (a/b)⁻ⁿ = (b/a)ⁿ ]

=> 25/4

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