Math, asked by Anonymous, 3 months ago

Express 9000 as a product of powers of its prime factors

Answers

Answered by yadavsaransh06
4

Answer:

2^3 × 3^2 × 5^3

Step-by-step explanation:

9000 = 2 × 4500 = 2 × 2 × 2250 = 2 × 2 × 2 × 1125 = 2 × 2 × 2 × 3 × 375 = 2 × 2 × 2 × 3 × 3 × 125 = 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 = 2^3 × 3^2 × 5^3

Answered by GeniusYH
9

Hey NickSaxena !

Answer:

2³ × 3² × 5³

Step-by-step explanation:

Procedure :

9000 = 9 × 1000

= 3² × 10³

= 3² × (2 × 5)³

= 3² × 2³ × 5³

Hence 9000 = 2³ × 3² × 5³.

Thanks !

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